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Finding the Fourth Proportional to 6,474.38, 9,711.98 and 2,578.69

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Solution

The fourth proportional to 6,474.38, 9,711.98 and 2,578.69 is: 3,868.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.38 : 9,711.98 = 2,578.69 : x
  2. Step 2: Convert to fraction form
    6,474.38/9,711.98 = 2,578.69/x
  3. Step 3: Cross multiply
    6,474.38x = 9,711.98 × 2,578.69
  4. Step 4: Simplify right side
    6,474.38x = 25,044,167.87
  5. Step 5: Solve for x
    x = 25,044,167.87/6,474.38
  6. Step 6: Final answer
    x = 3,868.19

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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.