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Finding the Fourth Proportional to 20,538, 30,809.43 and 6,687

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Solution

The fourth proportional to 20,538, 30,809.43 and 6,687 is: 10,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,538 : 30,809.43 = 6,687 : x
  2. Step 2: Convert to fraction form
    20,538/30,809.43 = 6,687/x
  3. Step 3: Cross multiply
    20,538x = 30,809.43 × 6,687
  4. Step 4: Simplify right side
    20,538x = 206,022,658.41
  5. Step 5: Solve for x
    x = 206,022,658.41/20,538
  6. Step 6: Final answer
    x = 10,031.29

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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.