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      Question

      Find the fourth proportion of (k + 2), (3k + 6) and (5k

      + 10). (Note: 'k' is the smallest odd prime number.)
      A 45 Correct Answer Incorrect Answer
      B 60 Correct Answer Incorrect Answer
      C 75 Correct Answer Incorrect Answer
      D 90 Correct Answer Incorrect Answer

      Solution

      'k' = 3 k + 2 = 3 + 2 = 5 3k + 6 = 3 × 3 + 6 = 15 5k + 10 = 5 × 3 + 10 = 25 Let the fourth proportion be 'm'. 5 : 15 :: 25 : m So, 5 × m = 15 × 25 Or, 'm' = 75

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