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Finding the Fourth Proportional to 20,542, 30,815.43 and 6,691

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Solution

The fourth proportional to 20,542, 30,815.43 and 6,691 is: 10,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542 : 30,815.43 = 6,691 : x
  2. Step 2: Convert to fraction form
    20,542/30,815.43 = 6,691/x
  3. Step 3: Cross multiply
    20,542x = 30,815.43 × 6,691
  4. Step 4: Simplify right side
    20,542x = 206,186,042.13
  5. Step 5: Solve for x
    x = 206,186,042.13/20,542
  6. Step 6: Final answer
    x = 10,037.29

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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.