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Finding the Fourth Proportional to 5,149.49, 7,724.84 and 3,859.16

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Solution

The fourth proportional to 5,149.49, 7,724.84 and 3,859.16 is: 5,789.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.49 : 7,724.84 = 3,859.16 : x
  2. Step 2: Convert to fraction form
    5,149.49/7,724.84 = 3,859.16/x
  3. Step 3: Cross multiply
    5,149.49x = 7,724.84 × 3,859.16
  4. Step 4: Simplify right side
    5,149.49x = 29,811,335.61
  5. Step 5: Solve for x
    x = 29,811,335.61/5,149.49
  6. Step 6: Final answer
    x = 5,789.19

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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.