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Finding the Fourth Proportional to 15,040.38, 20,755.42 and 8,326

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Solution

The fourth proportional to 15,040.38, 20,755.42 and 8,326 is: 11,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,040.38 : 20,755.42 = 8,326 : x
  2. Step 2: Convert to fraction form
    15,040.38/20,755.42 = 8,326/x
  3. Step 3: Cross multiply
    15,040.38x = 20,755.42 × 8,326
  4. Step 4: Simplify right side
    15,040.38x = 172,809,585.29
  5. Step 5: Solve for x
    x = 172,809,585.29/15,040.38
  6. Step 6: Final answer
    x = 11,489.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.