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Finding the Fourth Proportional to 20,512.59, 30,769.13 and 5,720.61

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Solution

The fourth proportional to 20,512.59, 30,769.13 and 5,720.61 is: 8,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.59 : 30,769.13 = 5,720.61 : x
  2. Step 2: Convert to fraction form
    20,512.59/30,769.13 = 5,720.61/x
  3. Step 3: Cross multiply
    20,512.59x = 30,769.13 × 5,720.61
  4. Step 4: Simplify right side
    20,512.59x = 176,018,070.23
  5. Step 5: Solve for x
    x = 176,018,070.23/20,512.59
  6. Step 6: Final answer
    x = 8,580.98

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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.