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Finding the Fourth Proportional to 20,542.76, 30,810.78 and 9,449

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Solution

The fourth proportional to 20,542.76, 30,810.78 and 9,449 is: 14,171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.76 : 30,810.78 = 9,449 : x
  2. Step 2: Convert to fraction form
    20,542.76/30,810.78 = 9,449/x
  3. Step 3: Cross multiply
    20,542.76x = 30,810.78 × 9,449
  4. Step 4: Simplify right side
    20,542.76x = 291,131,060.22
  5. Step 5: Solve for x
    x = 291,131,060.22/20,542.76
  6. Step 6: Final answer
    x = 14,171.95

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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.