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Finding the Fourth Proportional to 5,781.92, 8,680.20 and 5,475.76

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Solution

The fourth proportional to 5,781.92, 8,680.20 and 5,475.76 is: 8,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.92 : 8,680.20 = 5,475.76 : x
  2. Step 2: Convert to fraction form
    5,781.92/8,680.20 = 5,475.76/x
  3. Step 3: Cross multiply
    5,781.92x = 8,680.20 × 5,475.76
  4. Step 4: Simplify right side
    5,781.92x = 47,530,691.95
  5. Step 5: Solve for x
    x = 47,530,691.95/5,781.92
  6. Step 6: Final answer
    x = 8,220.57

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1.5x scale

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.