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Finding the Fourth Proportional to 3,744.96, 5,169.24 and 2,487.12

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Solution

The fourth proportional to 3,744.96, 5,169.24 and 2,487.12 is: 3,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.96 : 5,169.24 = 2,487.12 : x
  2. Step 2: Convert to fraction form
    3,744.96/5,169.24 = 2,487.12/x
  3. Step 3: Cross multiply
    3,744.96x = 5,169.24 × 2,487.12
  4. Step 4: Simplify right side
    3,744.96x = 12,856,520.19
  5. Step 5: Solve for x
    x = 12,856,520.19/3,744.96
  6. Step 6: Final answer
    x = 3,433.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.