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Multiple choice

Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.

  1. $11 ∶ 5$
  2. $3 ∶ 2$
  3. $4 ∶ 3$
  4. $8 ∶ 9$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Fourth proportional of 12, 16, 6: if 12:16 = 6:x, then 12x = 96, so x = 8. Third proportional of 4, 6: if 4:6 = 6:y, then 4y = 36, so y = 9. The required ratio is x:y = 8:9.

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