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Finding the Fourth Proportional to 3,971.92, 5,481.12 and 2,399.74

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Solution

The fourth proportional to 3,971.92, 5,481.12 and 2,399.74 is: 3,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.92 : 5,481.12 = 2,399.74 : x
  2. Step 2: Convert to fraction form
    3,971.92/5,481.12 = 2,399.74/x
  3. Step 3: Cross multiply
    3,971.92x = 5,481.12 × 2,399.74
  4. Step 4: Simplify right side
    3,971.92x = 13,153,262.91
  5. Step 5: Solve for x
    x = 13,153,262.91/3,971.92
  6. Step 6: Final answer
    x = 3,311.56

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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.