Find the fourth proportional to 2, 6, 8.
Correct Answer :
24
Solution :
The correct option is 24.
To find the fourth proportional to three numbers , , and , we let the fourth proportional be .
By definition of proportionality, the ratio of the first two numbers is equal to the ratio of the last two numbers:
Given the numbers:
Substituting these values into the proportion equation gives:
Cross-multiplying to solve for :
Dividing both sides by 2:
Hence, the fourth proportional to 2, 6, and 8 is 24.
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