Find the value of x in each of the following proportions :
(iv) 8: 10 = X: 25
(v) 5:15 = 4 : x
(vi). 16:24 = 6:X
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Answer:
(i) x : 4 = 6 : 8
⇒ x × 8 = 4 × 6
⇒ x = (4 × 6)/8 = 3
(ii) 14 : x = 7 : 9
⇒ x × 7 = 14 × 9
⇒ x = (14 × 9)/7 = 18
(iii) 4 : 6 = x : 18
⇒ 6 × x = 4 × 18
⇒ x = (4 × 18)/6 = 12
(iv) 8 : 10 = x : 25
⇒ 10 × x = 25 × 8 ⇒ x = (25 × 8)/10 = 20
(v) 5 : 15 = 4 : x
⇒ 5 × x = 15 × 4 ⇒ x = (15 × 4)/5 = 12
(vi) 16 : 24 = 6 : x
⇒ 16 × x = 24 × 6 ⇒ x = (24 × 6)/16 = 9
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