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If x:y = 1/4 : 3/8 and y:z = 1/3 : 4/9, find x : z
A. 2:3
B. 3:4
C. 3:8
D. 1:2
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x:y = x/y = (1/4) / (3/8)
= 1/4 x 8/3 = 2/3
therefore, x:y = 2:3
x = 2 and y = 3
y:z = y/z = (1/3) / (4/9)
= 1/3 x 9/4
= 3/4
therefore, y:z = 3:4
y = 3 and z = 4
x:z = 2:4
= 2/4
= 1/2 or 1:2
Ans D
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