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Finding the Fourth Proportional to 8,138.67, 12,207.87 and 2,591.94

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Solution

The fourth proportional to 8,138.67, 12,207.87 and 2,591.94 is: 3,887.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.67 : 12,207.87 = 2,591.94 : x
  2. Step 2: Convert to fraction form
    8,138.67/12,207.87 = 2,591.94/x
  3. Step 3: Cross multiply
    8,138.67x = 12,207.87 × 2,591.94
  4. Step 4: Simplify right side
    8,138.67x = 31,642,066.57
  5. Step 5: Solve for x
    x = 31,642,066.57/8,138.67
  6. Step 6: Final answer
    x = 3,887.87

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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.