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Finding the Fourth Proportional to 8,147.88, 12,202.67 and 3,974.81

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Solution

The fourth proportional to 8,147.88, 12,202.67 and 3,974.81 is: 5,952.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.88 : 12,202.67 = 3,974.81 : x
  2. Step 2: Convert to fraction form
    8,147.88/12,202.67 = 3,974.81/x
  3. Step 3: Cross multiply
    8,147.88x = 12,202.67 × 3,974.81
  4. Step 4: Simplify right side
    8,147.88x = 48,503,294.74
  5. Step 5: Solve for x
    x = 48,503,294.74/8,147.88
  6. Step 6: Final answer
    x = 5,952.87

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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.