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Finding the Fourth Proportional to 8,472.78, 12,709.56 and 4,093.92

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Solution

The fourth proportional to 8,472.78, 12,709.56 and 4,093.92 is: 6,141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.78 : 12,709.56 = 4,093.92 : x
  2. Step 2: Convert to fraction form
    8,472.78/12,709.56 = 4,093.92/x
  3. Step 3: Cross multiply
    8,472.78x = 12,709.56 × 4,093.92
  4. Step 4: Simplify right side
    8,472.78x = 52,031,921.88
  5. Step 5: Solve for x
    x = 52,031,921.88/8,472.78
  6. Step 6: Final answer
    x = 6,141.07

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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.