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Finding the Fourth Proportional to 20,086.85, 30,125.96 and 8,229

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Solution

The fourth proportional to 20,086.85, 30,125.96 and 8,229 is: 12,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,086.85 : 30,125.96 = 8,229 : x
  2. Step 2: Convert to fraction form
    20,086.85/30,125.96 = 8,229/x
  3. Step 3: Cross multiply
    20,086.85x = 30,125.96 × 8,229
  4. Step 4: Simplify right side
    20,086.85x = 247,906,483.70
  5. Step 5: Solve for x
    x = 247,906,483.70/20,086.85
  6. Step 6: Final answer
    x = 12,341.73

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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.