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Finding the Fourth Proportional to 13,471.26, 20,194.38 and 6,882.90

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Solution

The fourth proportional to 13,471.26, 20,194.38 and 6,882.90 is: 10,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.26 : 20,194.38 = 6,882.90 : x
  2. Step 2: Convert to fraction form
    13,471.26/20,194.38 = 6,882.90/x
  3. Step 3: Cross multiply
    13,471.26x = 20,194.38 × 6,882.90
  4. Step 4: Simplify right side
    13,471.26x = 138,995,898.10
  5. Step 5: Solve for x
    x = 138,995,898.10/13,471.26
  6. Step 6: Final answer
    x = 10,317.96

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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.