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Finding the Fourth Proportional to 8,082, 12,101.88 and 5,472.72

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Solution

The fourth proportional to 8,082, 12,101.88 and 5,472.72 is: 8,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082 : 12,101.88 = 5,472.72 : x
  2. Step 2: Convert to fraction form
    8,082/12,101.88 = 5,472.72/x
  3. Step 3: Cross multiply
    8,082x = 12,101.88 × 5,472.72
  4. Step 4: Simplify right side
    8,082x = 66,230,200.71
  5. Step 5: Solve for x
    x = 66,230,200.71/8,082
  6. Step 6: Final answer
    x = 8,194.78

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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.