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Finding the Fourth Proportional to 6,474, 8,930.92 and 4,082.88

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Solution

The fourth proportional to 6,474, 8,930.92 and 4,082.88 is: 5,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 8,930.92 = 4,082.88 : x
  2. Step 2: Convert to fraction form
    6,474/8,930.92 = 4,082.88/x
  3. Step 3: Cross multiply
    6,474x = 8,930.92 × 4,082.88
  4. Step 4: Simplify right side
    6,474x = 36,463,874.65
  5. Step 5: Solve for x
    x = 36,463,874.65/6,474
  6. Step 6: Final answer
    x = 5,632.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.