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If 12,24,45 and y are in proportion, then the value of y is:
30
25
60
90
90
Observe that the second number (24) is exactly double the first number (12). Since they are in proportion, the fourth number (y) must be double the third number (45).
Four numbers in proportion: 12, 24, 45, and y.
baтАЛ=dcтАЛ
Observe that the second number (24) is exactly double the first number (12). Since they are in proportion, the fourth number (y) must be double the third number (45).
Confusing the order of numbers or assuming the proportion is a:b=y:c instead of the standard sequence a:b=c:y.
Define the Proportion
If four numbers a,b,c, and d are in proportion, then their ratio satisfies the equation baтАЛ=dcтАЛ. Here, a=12, b=24, c=45, and d=y.
2412тАЛ=y45тАЛ
Simplify the Ratio
Simplify the fraction on the left side: 2412тАЛ=21тАЛ.
21тАЛ=y45тАЛ
Solve for y
Cross-multiply to find the value of y: y├Ч1=45├Ч2.
y=90
D is correct because solving the proportion 2412тАЛ=y45тАЛ yields y=90.
This concept of ratios and proportions is foundational for solving problems in time-speed-distance, mixtures, and percentage calculations in competitive exams.
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