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Finding the Fourth Proportional to 8,903, 12,286.14 and 5,591

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Solution

The fourth proportional to 8,903, 12,286.14 and 5,591 is: 7,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903 : 12,286.14 = 5,591 : x
  2. Step 2: Convert to fraction form
    8,903/12,286.14 = 5,591/x
  3. Step 3: Cross multiply
    8,903x = 12,286.14 × 5,591
  4. Step 4: Simplify right side
    8,903x = 68,691,808.74
  5. Step 5: Solve for x
    x = 68,691,808.74/8,903
  6. Step 6: Final answer
    x = 7,715.58

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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.