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Finding the Fourth Proportional to 3,909.79, 5,864.14 and 987.91

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Solution

The fourth proportional to 3,909.79, 5,864.14 and 987.91 is: 1,481.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.79 : 5,864.14 = 987.91 : x
  2. Step 2: Convert to fraction form
    3,909.79/5,864.14 = 987.91/x
  3. Step 3: Cross multiply
    3,909.79x = 5,864.14 × 987.91
  4. Step 4: Simplify right side
    3,909.79x = 5,793,242.55
  5. Step 5: Solve for x
    x = 5,793,242.55/3,909.79
  6. Step 6: Final answer
    x = 1,481.73

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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.