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Finding the Fourth Proportional to 20,296.71, 30,456 and 9,202.55

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Solution

The fourth proportional to 20,296.71, 30,456 and 9,202.55 is: 13,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,296.71 : 30,456 = 9,202.55 : x
  2. Step 2: Convert to fraction form
    20,296.71/30,456 = 9,202.55/x
  3. Step 3: Cross multiply
    20,296.71x = 30,456 × 9,202.55
  4. Step 4: Simplify right side
    20,296.71x = 280,272,710.52
  5. Step 5: Solve for x
    x = 280,272,710.52/20,296.71
  6. Step 6: Final answer
    x = 13,808.78

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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.