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Finding the Fourth Proportional to 39,202, 54,098.76 and 21,538

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Solution

The fourth proportional to 39,202, 54,098.76 and 21,538 is: 29,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,202 : 54,098.76 = 21,538 : x
  2. Step 2: Convert to fraction form
    39,202/54,098.76 = 21,538/x
  3. Step 3: Cross multiply
    39,202x = 54,098.76 × 21,538
  4. Step 4: Simplify right side
    39,202x = 1,165,179,092.88
  5. Step 5: Solve for x
    x = 1,165,179,092.88/39,202
  6. Step 6: Final answer
    x = 29,722.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.