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Finding the Fourth Proportional to 26,135.75, 39,205.11 and 7,414.31

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Solution

The fourth proportional to 26,135.75, 39,205.11 and 7,414.31 is: 11,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,135.75 : 39,205.11 = 7,414.31 : x
  2. Step 2: Convert to fraction form
    26,135.75/39,205.11 = 7,414.31/x
  3. Step 3: Cross multiply
    26,135.75x = 39,205.11 × 7,414.31
  4. Step 4: Simplify right side
    26,135.75x = 290,678,854.68
  5. Step 5: Solve for x
    x = 290,678,854.68/26,135.75
  6. Step 6: Final answer
    x = 11,121.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.