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Finding the Fourth Proportional to 20,470.92, 30,713.64 and 11,713.20

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Solution

The fourth proportional to 20,470.92, 30,713.64 and 11,713.20 is: 17,573.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.92 : 30,713.64 = 11,713.20 : x
  2. Step 2: Convert to fraction form
    20,470.92/30,713.64 = 11,713.20/x
  3. Step 3: Cross multiply
    20,470.92x = 30,713.64 × 11,713.20
  4. Step 4: Simplify right side
    20,470.92x = 359,755,008.05
  5. Step 5: Solve for x
    x = 359,755,008.05/20,470.92
  6. Step 6: Final answer
    x = 17,573.95

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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.