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Finding the Fourth Proportional to 20,572.71, 30,835.73 and 9,456.43

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Solution

The fourth proportional to 20,572.71, 30,835.73 and 9,456.43 is: 14,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,572.71 : 30,835.73 = 9,456.43 : x
  2. Step 2: Convert to fraction form
    20,572.71/30,835.73 = 9,456.43/x
  3. Step 3: Cross multiply
    20,572.71x = 30,835.73 × 9,456.43
  4. Step 4: Simplify right side
    20,572.71x = 291,595,720.78
  5. Step 5: Solve for x
    x = 291,595,720.78/20,572.71
  6. Step 6: Final answer
    x = 14,173.91

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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.