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Finding the Fourth Proportional to 13,449.59, 20,131.24 and 7,193.96

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Solution

The fourth proportional to 13,449.59, 20,131.24 and 7,193.96 is: 10,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.59 : 20,131.24 = 7,193.96 : x
  2. Step 2: Convert to fraction form
    13,449.59/20,131.24 = 7,193.96/x
  3. Step 3: Cross multiply
    13,449.59x = 20,131.24 × 7,193.96
  4. Step 4: Simplify right side
    13,449.59x = 144,823,335.31
  5. Step 5: Solve for x
    x = 144,823,335.31/13,449.59
  6. Step 6: Final answer
    x = 10,767.86

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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.