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Finding the Fourth Proportional to 5,377.92, 8,082 and 3,186.96

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Solution

The fourth proportional to 5,377.92, 8,082 and 3,186.96 is: 4,789.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,377.92 : 8,082 = 3,186.96 : x
  2. Step 2: Convert to fraction form
    5,377.92/8,082 = 3,186.96/x
  3. Step 3: Cross multiply
    5,377.92x = 8,082 × 3,186.96
  4. Step 4: Simplify right side
    5,377.92x = 25,757,010.72
  5. Step 5: Solve for x
    x = 25,757,010.72/5,377.92
  6. Step 6: Final answer
    x = 4,789.40

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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.