Practice the questions given in the worksheet on basic problems on proportion. The questions are related to find the unknown value of a given proportion, to verify the given quantities form a proportion or not and mean proportion between two quantities.
1. Find the value of x in each of the following proportions:
(i) x : 4 = 6 : 8
(ii) 14 : x = 7 : 9
(iii) 4 : 6 = x : 18
(iv) 8 : 10 = x : 25
(v) 5 : 15 = 4 : x
(vi) 16 : 24 = 6 : x
2. Check whether the following quantities form a proportion or not:
(i) 3x, 7x, 24 and 56
(ii) 0.4, 0.5, 2.9 and 3.5
(iii) 2½, 5½, 3.0 and 6.0
3. Find x in the following proportions:
(i) x : 3 : : 57 : 19
(ii) 18 : x : : 27 : 3
(iii) 16 : 18 : : x : 96
(iv) 4 : 8 : : x : 16
(v) 5 : 35 : : x : 14
(vi) 10 : 15 : : 12 : x
4. Find the mean proportional between:
(i) 0.9 and 2.5
(ii) 0.6 and 9.6
(iii) ¼ and 1/16
5. (i) If x : y = 2 : 3 and y : z = 5 : 7, find x : y : z.
(ii) If m : n = 4 : 9 and n : s = 3 : 7, find m : s.
Answers for the worksheet on basic problems on proportion are given below to check the exact answers of the above questions.
Answers:
1. (i) 3
(ii) 18
(iii) 12
(iv) 20
(v) 12
(vi) 9
2. (i) Yes
(ii) No
(iii) No
3. (i) 9
(ii) 2
(iii) 256/3
(iv) 8
(v) 2
(vi) 18
4. (i) 1.5
(ii) 2.4
(iii) 1/8
5. (i) 10 : 15 : 21
(ii) 4 : 21
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