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Finding the Fourth Proportional to 5,147.48, 7,724.46 and 2,686.70

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Solution

The fourth proportional to 5,147.48, 7,724.46 and 2,686.70 is: 4,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.48 : 7,724.46 = 2,686.70 : x
  2. Step 2: Convert to fraction form
    5,147.48/7,724.46 = 2,686.70/x
  3. Step 3: Cross multiply
    5,147.48x = 7,724.46 × 2,686.70
  4. Step 4: Simplify right side
    5,147.48x = 20,753,306.68
  5. Step 5: Solve for x
    x = 20,753,306.68/5,147.48
  6. Step 6: Final answer
    x = 4,031.74

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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.