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Finding the Fourth Proportional to 8,481.78, 12,747.24 and 4,102.31

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Solution

The fourth proportional to 8,481.78, 12,747.24 and 4,102.31 is: 6,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,481.78 : 12,747.24 = 4,102.31 : x
  2. Step 2: Convert to fraction form
    8,481.78/12,747.24 = 4,102.31/x
  3. Step 3: Cross multiply
    8,481.78x = 12,747.24 × 4,102.31
  4. Step 4: Simplify right side
    8,481.78x = 52,293,161.99
  5. Step 5: Solve for x
    x = 52,293,161.99/8,481.78
  6. Step 6: Final answer
    x = 6,165.35

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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.