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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