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Finding the Fourth Proportional to 25,900, 38,849.09 and 8,369.38

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Solution

The fourth proportional to 25,900, 38,849.09 and 8,369.38 is: 12,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,900 : 38,849.09 = 8,369.38 : x
  2. Step 2: Convert to fraction form
    25,900/38,849.09 = 8,369.38/x
  3. Step 3: Cross multiply
    25,900x = 38,849.09 × 8,369.38
  4. Step 4: Simplify right side
    25,900x = 325,142,796.86
  5. Step 5: Solve for x
    x = 325,142,796.86/25,900
  6. Step 6: Final answer
    x = 12,553.78

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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.