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.

Answer 1

Reciprocal ratio of
15:28 = 28:15

sub duplicate ratio of 36:49
$\sqrt{3}6:\sqrt{4}9=6:7$

triplicate ratio of 5:4
$5^3:4^3=125:64$

required compound ratio =$\frac{28\times 6\times 125}{15\times 7\times 64}$
=$\frac{25}{8}$
=$\frac{25}{8}$