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Finding the Fourth Proportional to 3,909.72, 5,854.80 and 3,138.60

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Solution

The fourth proportional to 3,909.72, 5,854.80 and 3,138.60 is: 4,700.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.72 : 5,854.80 = 3,138.60 : x
  2. Step 2: Convert to fraction form
    3,909.72/5,854.80 = 3,138.60/x
  3. Step 3: Cross multiply
    3,909.72x = 5,854.80 × 3,138.60
  4. Step 4: Simplify right side
    3,909.72x = 18,375,875.28
  5. Step 5: Solve for x
    x = 18,375,875.28/3,909.72
  6. Step 6: Final answer
    x = 4,700.05

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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.