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    Question

    Find the fourth proportion of (2k), (3k), and (4k + 8).

    (Note: 'k' is the smallest two-digit prime number.)
    A 74 Correct Answer Incorrect Answer
    B 76 Correct Answer Incorrect Answer
    C 78 Correct Answer Incorrect Answer
    D 80 Correct Answer Incorrect Answer

    Solution

    k = 11
    2k = 22
    3k = 33
    4k + 8 = 44 + 8 = 52
    22 : 33 :: 52 : m
    22m = 33 × 52 = 1716
    m = 1716 ÷ 22 = 78

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