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Finding the Fourth Proportional to 13,917.87, 20,839.14 and 10,191.87

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Solution

The fourth proportional to 13,917.87, 20,839.14 and 10,191.87 is: 15,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.87 : 20,839.14 = 10,191.87 : x
  2. Step 2: Convert to fraction form
    13,917.87/20,839.14 = 10,191.87/x
  3. Step 3: Cross multiply
    13,917.87x = 20,839.14 × 10,191.87
  4. Step 4: Simplify right side
    13,917.87x = 212,389,805.79
  5. Step 5: Solve for x
    x = 212,389,805.79/13,917.87
  6. Step 6: Final answer
    x = 15,260.22

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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.