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Finding the Fourth Proportional to 5,635.17, 8,454.78 and 3,789.79

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Solution

The fourth proportional to 5,635.17, 8,454.78 and 3,789.79 is: 5,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.17 : 8,454.78 = 3,789.79 : x
  2. Step 2: Convert to fraction form
    5,635.17/8,454.78 = 3,789.79/x
  3. Step 3: Cross multiply
    5,635.17x = 8,454.78 × 3,789.79
  4. Step 4: Simplify right side
    5,635.17x = 32,041,819.56
  5. Step 5: Solve for x
    x = 32,041,819.56/5,635.17
  6. Step 6: Final answer
    x = 5,686.04

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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.