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      Question

      Find the fourth proportion of (k + 1) , (k + 3) and (2k

      + 2). (Note: 'k' is the smallest two-digit prime number.)
      A 24 Correct Answer Incorrect Answer
      B 26 Correct Answer Incorrect Answer
      C 28 Correct Answer Incorrect Answer
      D 30 Correct Answer Incorrect Answer

      Solution

      'k' = 11

      k + 1 = 11 + 1 = 12

      k + 3 = 11 + 3 = 14

      2k + 2 = 2 x 11 + 2 = 24

      Let the fourth proportion be 'm'.

      12:14::24:m

      So, 12 x m = 14 x 24

      Or, 'm' = 28

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