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Finding the Fourth Proportional to 6,648.38, 9,976.45 and 2,491.31

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Solution

The fourth proportional to 6,648.38, 9,976.45 and 2,491.31 is: 3,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.38 : 9,976.45 = 2,491.31 : x
  2. Step 2: Convert to fraction form
    6,648.38/9,976.45 = 2,491.31/x
  3. Step 3: Cross multiply
    6,648.38x = 9,976.45 × 2,491.31
  4. Step 4: Simplify right side
    6,648.38x = 24,854,396.92
  5. Step 5: Solve for x
    x = 24,854,396.92/6,648.38
  6. Step 6: Final answer
    x = 3,738.41

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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.