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Finding the Fourth Proportional to 3,930.56, 5,421.92 and 2,456

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Solution

The fourth proportional to 3,930.56, 5,421.92 and 2,456 is: 3,387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.56 : 5,421.92 = 2,456 : x
  2. Step 2: Convert to fraction form
    3,930.56/5,421.92 = 2,456/x
  3. Step 3: Cross multiply
    3,930.56x = 5,421.92 × 2,456
  4. Step 4: Simplify right side
    3,930.56x = 13,316,235.52
  5. Step 5: Solve for x
    x = 13,316,235.52/3,930.56
  6. Step 6: Final answer
    x = 3,387.87

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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.