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Finding the Fourth Proportional to 31,800, 47,700 and 9,912

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Solution

The fourth proportional to 31,800, 47,700 and 9,912 is: 14,868

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800 : 47,700 = 9,912 : x
  2. Step 2: Convert to fraction form
    31,800/47,700 = 9,912/x
  3. Step 3: Cross multiply
    31,800x = 47,700 × 9,912
  4. Step 4: Simplify right side
    31,800x = 472,802,400
  5. Step 5: Solve for x
    x = 472,802,400/31,800
  6. Step 6: Final answer
    x = 14,868

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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.