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Finding the Fourth Proportional to 38,514, 57,771 and 10,812

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Solution

The fourth proportional to 38,514, 57,771 and 10,812 is: 16,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514 : 57,771 = 10,812 : x
  2. Step 2: Convert to fraction form
    38,514/57,771 = 10,812/x
  3. Step 3: Cross multiply
    38,514x = 57,771 × 10,812
  4. Step 4: Simplify right side
    38,514x = 624,620,052
  5. Step 5: Solve for x
    x = 624,620,052/38,514
  6. Step 6: Final answer
    x = 16,218

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Why These Related Problems?

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