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Finding the Fourth Proportional to 3,909.54, 5,864.28 and 2,601.78

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Solution

The fourth proportional to 3,909.54, 5,864.28 and 2,601.78 is: 3,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.54 : 5,864.28 = 2,601.78 : x
  2. Step 2: Convert to fraction form
    3,909.54/5,864.28 = 2,601.78/x
  3. Step 3: Cross multiply
    3,909.54x = 5,864.28 × 2,601.78
  4. Step 4: Simplify right side
    3,909.54x = 15,257,566.42
  5. Step 5: Solve for x
    x = 15,257,566.42/3,909.54
  6. Step 6: Final answer
    x = 3,902.65

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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.