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Finding the Fourth Proportional to 5,241.60, 7,867.20 and 4,149.12

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Solution

The fourth proportional to 5,241.60, 7,867.20 and 4,149.12 is: 6,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.60 : 7,867.20 = 4,149.12 : x
  2. Step 2: Convert to fraction form
    5,241.60/7,867.20 = 4,149.12/x
  3. Step 3: Cross multiply
    5,241.60x = 7,867.20 × 4,149.12
  4. Step 4: Simplify right side
    5,241.60x = 32,641,956.86
  5. Step 5: Solve for x
    x = 32,641,956.86/5,241.60
  6. Step 6: Final answer
    x = 6,227.48

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1.5x scale

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.