Worksheet on Proportion Problems

Practice the questions given in the worksheet on proportion problems. The questions are based on verifying the given quantities form a proportion or not, find the unknown value of a proportion, determine the fourth proportion and mean proportion between two quantities.

1. Check whether the following quantities form a proportion or not:

(i) 0.8, 3, 2.4 and 9

(ii) 1 ½, 3 ¼, 4 ½ and 9 3/4   

2. Find the value of x so that the given four numbers are in proportion:

(i) x, 6, 10 and 15

(ii) x, 4, 15 and 30

(iii) 2, x, 10 and 25

(iv) 4, x, 6 and 18

(v) 9, 12, x and 8

(vi) 7, 21, x and 45

(vii) 6, 8, 12 and x

(viii) 4, 10, 36 and x

3. Find the fourth proportional to:

(i) 3, 12 and 4

(ii) 5, 9 and 45

(iii) 2.1, 1.5 and 8.4

(iv) 1/3, 2/5 and 8.4

(v) 4 hours 40 minutes, 1 hour 10 minutes and 16 hours

4. Fill in the box so that the four numbers are in proportion:

(i) 4, 5, 8, ____

(ii) 32, 64, ____, 12

(iii) 15, ____, 150, 250

(iv) ____, 26,220, 260

5. Find the mean proportional between:

(i) 16 and 4

(ii) 3 and 27

6. (i) If A : B = 3 : 5 and B : C = 4 : 7, find A : B : C.

(ii) If P : Q = ½ : 1/3 and Q : R =1 ½ : 1 1/3, find P : R.

Answers for the worksheet on proportion problems are given below to check the exact answers of the above problems.

Answers:

1. (i) Yes

(ii) Yes

2. (i) 4

(ii) 2

(iii) 5

(iv) 12

(v) 6

(vi) 15

(vii) 16

(viii) 90

3. (i) 16

(ii) 81

(iii) 6.0

(iv) 10.08

(v) 4 hours

4. (i) 10

(ii) 6

(iii) 25

(iv) 22

5. (i) 8

(ii) 9

6. (i) 12 : 20 : 35

(ii) 27 : 16

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