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If 18:24::24:y, what is the value of y?
36
18
24
32
32
Use the product of extremes equals the product of means formula: 18├Чy=24├Ч24. Solve for y=1824├Ч24тАЛ=18576тАЛ=32.
Proportion given as 18:24::24:y
a:b::c:dтЯ╣a├Чd=b├Чc
Use the product of extremes equals the product of means formula: 18├Чy=24├Ч24. Solve for y=1824├Ч24тАЛ=18576тАЛ=32.
Confusing the order of terms or incorrectly simplifying the fractions, leading to 36 instead of 32.
Understand Proportion Rule
In a continuous proportion a:b::c:d, the product of the extremes equals the product of the means (a├Чd=b├Чc). Here, a=18, b=24, c=24, and d=y.
18├Чy=24├Ч24
Simplify and Solve for y
Multiply the means together and divide by the known extreme 18: y=1824├Ч24тАЛ=18576тАЛ
y=32
D is correct because solving the proportion 18:24::24:y gives y=1824├Ч24тАЛ=32.
Proportions are fundamental in solving problems related to similar triangles, scale factors, and speed-time-distance calculations in quantitative aptitude.
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