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Finding the Fourth Proportional to 8,394, 12,593.25 and 7,475.87

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Solution

The fourth proportional to 8,394, 12,593.25 and 7,475.87 is: 11,215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394 : 12,593.25 = 7,475.87 : x
  2. Step 2: Convert to fraction form
    8,394/12,593.25 = 7,475.87/x
  3. Step 3: Cross multiply
    8,394x = 12,593.25 × 7,475.87
  4. Step 4: Simplify right side
    8,394x = 94,145,436.91
  5. Step 5: Solve for x
    x = 94,145,436.91/8,394
  6. Step 6: Final answer
    x = 11,215.80

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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.