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Finding the Fourth Proportional to 26,538, 39,808 and 9,902.24

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Solution

The fourth proportional to 26,538, 39,808 and 9,902.24 is: 14,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538 : 39,808 = 9,902.24 : x
  2. Step 2: Convert to fraction form
    26,538/39,808 = 9,902.24/x
  3. Step 3: Cross multiply
    26,538x = 39,808 × 9,902.24
  4. Step 4: Simplify right side
    26,538x = 394,188,369.92
  5. Step 5: Solve for x
    x = 394,188,369.92/26,538
  6. Step 6: Final answer
    x = 14,853.73

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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.