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Finding the Fourth Proportional to 31,824, 47,736 and 9,936

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Solution

The fourth proportional to 31,824, 47,736 and 9,936 is: 14,904

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,824 : 47,736 = 9,936 : x
  2. Step 2: Convert to fraction form
    31,824/47,736 = 9,936/x
  3. Step 3: Cross multiply
    31,824x = 47,736 × 9,936
  4. Step 4: Simplify right side
    31,824x = 474,304,896
  5. Step 5: Solve for x
    x = 474,304,896/31,824
  6. Step 6: Final answer
    x = 14,904

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.