Question

Given that x : 3 : 9/2 = 15/4 : 4 1/2 : y, find the value of x and y.

Answer 1

Answer:

x = $\frac{5}{2}$ , y = $\frac{27}{4}$

Step-by-step explanation:

Equate the first 2 parts of the ratios on both sides of the equation and solve for x.

Expressing the ratios in fractional form, then

$\frac{x}{3}$ = $\frac{\frac{15}{4} }{\frac{9}{2} }$ = $\frac{15}{4}$ × $\frac{2}{9}$ = $\frac{5}{6}$ ( cross- multiply )

6x = 15 ( divide both sides by 6 )

x = $\frac{15}{6}$ = $\frac{5}{2}$

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Equate the last 2 parts of the ratios on both sides and solve for y

$\frac{\frac{9}{2} }{y}$ = $\frac{3}{\frac{9}{2} }$ = 3 × $\frac{2}{9}$ = $\frac{2}{3}$ ( cross- multiply )

2y = $\frac{9}{2}$ × 3 = $\frac{27}{2}$ ( divide both sides by 2 )

y = $\frac{27}{4}$