Proportion

1 ) Check whether the numbers 2,3,4,6 are in proportion or not.

2 ) Check whether the numbers 2.5,-2,-5,4 are in proportion or not.

3 ) Check whether the numbers 2,7,14,42 are in proportion or not.

4) Check whether the numbers –√2,6,1,√18 are in proportion or not.

5 ) Check whether the numbers 2a, 3b, 6ac, 9bc are in proportion or not.

6 ) Check whether the numbers 8x, 5yz, 40qx, 25qyz are in proportion or not.

7 ) Find which pair of numbers given below are proportional to 5pq and 3q ?

(i) 15pt , 3q ( ii) 15pt and 9t (iii) 15pr and 9t

8 ) If 6 : x :: 2 : 13, find the value of x.

9 ) If 8 : y :: 2 : 21, calculate the value of y.

10 ) Find out the value of x, if 10 : 35 :: x : 42.

11 ) For what value of x, x, 50 , 3 and 2 will be in proportion ?

12 ) Find the fourth proportional of 1.5, 4.5, and 3.5

13 )Find the fourth proportional of 3a, 6a² , 2ab²

14 ) Find the fourth proportional of 1/3, 1/4, 1/5

15 ) Find the fourth proportional of 9.6 Kg, 7.6 kg and 28.8 kg

16 )Find the fourth proportional of ( p – q ), ( p² – q² ), ( p² – pq + q² )

17) Find the fourth proportional of x²y, y²z , z²x

18 ) Find the fourth proportional of 5, 4, 25

19 ) Find the third proportion of the numbers 9 and 15

20 ) Find the third proportion of the numbers 2a² and 3ab

21 ) Find the third proportion of the numbers 9pq and 12pq²

22 ) Find the third proportion of the numbers 1/12 and 1/75

23 ) Find the third proportion of the numbers 2 2/3 and 4

24 ) Find the third proportion of the numbers ( a – b ) and ( a² – b² )

25 ) Find the third proportion of the numbers 5 and 10

26 ) Find the third proportion of the numbers 0.24 and 0.6

27 ) Find the third proportion of the numbers p³q² and q²r

28 ) Find the third proportion of the numbers ( x – y )² and ( x² – y² )²

29 ) Find the mean proportion of the numbers 5 and 80

30 ) Find the mean proportion of the numbers 8.1 and 2.5

31 )Find the mean proportion of the numbers x³y and xy³

32)Find the mean proportion of the numbers (x-y)² and ( x + y )²

33 ) Find the mean proportion of the numbers 1/12 and 1/75

34 ) Find the mean proportion of the numbers 0.5 and 4.5

35) Find the mean proportion of the numbers pqr and pr/q

36 ) Find the mean proportion of the numbers xy² and xz²

37 ) Find the mean proportion of the numbers ( 6 +3 √3) and ( 8 – 4√3 )

38 ) Find the mean proportion of the numbers (a – b) and (a³ – a²b)

39) 6 is the mean proportion between two numbers x and y and 48 is third propotion to x and y. Find the numbers.

40 ) What least number must be added to each of the numbers 6,15,20 and 43 to make them proportional ?

41 ) If ( x + 5 ) is the mean proportion between ( x + 2 ) and ( x + 9 ), find the value of x.