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Question
Find the ratio compounded of the reciprocal ratio of 15 : 28, the sub-duplicate ratio of 36 : 49 and the triplicate ratio of 5 : 4.
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Solution
Reciprocal ratio of 15 : 28 = 28 : 15
Sub-duplicate ratio of 36 : 49
= `sqrt(36) : sqrt(49)`
= 6 : 7
Triplicate ratio of 5 : 4
= 53 : 43
= 125 : 64
Required compounded ratio
= `(28 xx 6 xx 125)/(15 xx 7 xx 64)`
= `25/8`
= 25 : 8
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