Find x in the proportion 6:18 = 4:x. What is x?

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Multiple Choice

Find x in the proportion 6:18 = 4:x. What is x?

Explanation:
Proportions mean the two ratios describe the same relationship, so cross-multiplication helps find the missing value. For 6:18 = 4:x, multiply the extremes and the means: 6·x = 18·4. This gives 6x = 72, so x = 12. Another way is to reduce 6:18 to 1:3, then set 1:3 = 4:x and cross-multiply to get x = 12. The correct value is 12, which isn’t among the options, so the provided answer seems to be incorrect. For example, choosing 8 would yield 4:8 = 1:2, which does not match the left side’s 1:3.

Proportions mean the two ratios describe the same relationship, so cross-multiplication helps find the missing value. For 6:18 = 4:x, multiply the extremes and the means: 6·x = 18·4. This gives 6x = 72, so x = 12. Another way is to reduce 6:18 to 1:3, then set 1:3 = 4:x and cross-multiply to get x = 12. The correct value is 12, which isn’t among the options, so the provided answer seems to be incorrect. For example, choosing 8 would yield 4:8 = 1:2, which does not match the left side’s 1:3.

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