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Finding the Fourth Proportional to 26,410.78, 39,624.64 and 7,691.94

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Solution

The fourth proportional to 26,410.78, 39,624.64 and 7,691.94 is: 11,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,410.78 : 39,624.64 = 7,691.94 : x
  2. Step 2: Convert to fraction form
    26,410.78/39,624.64 = 7,691.94/x
  3. Step 3: Cross multiply
    26,410.78x = 39,624.64 × 7,691.94
  4. Step 4: Simplify right side
    26,410.78x = 304,790,353.40
  5. Step 5: Solve for x
    x = 304,790,353.40/26,410.78
  6. Step 6: Final answer
    x = 11,540.38

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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.