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Finding the Fourth Proportional to 8,322.31, 12,472.53 and 4,107.88

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Solution

The fourth proportional to 8,322.31, 12,472.53 and 4,107.88 is: 6,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.31 : 12,472.53 = 4,107.88 : x
  2. Step 2: Convert to fraction form
    8,322.31/12,472.53 = 4,107.88/x
  3. Step 3: Cross multiply
    8,322.31x = 12,472.53 × 4,107.88
  4. Step 4: Simplify right side
    8,322.31x = 51,235,687.72
  5. Step 5: Solve for x
    x = 51,235,687.72/8,322.31
  6. Step 6: Final answer
    x = 6,156.42

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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.