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Finding the Fourth Proportional to 13,824.65, 20,744.27 and 8,289.11

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Solution

The fourth proportional to 13,824.65, 20,744.27 and 8,289.11 is: 12,438.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,824.65 : 20,744.27 = 8,289.11 : x
  2. Step 2: Convert to fraction form
    13,824.65/20,744.27 = 8,289.11/x
  3. Step 3: Cross multiply
    13,824.65x = 20,744.27 × 8,289.11
  4. Step 4: Simplify right side
    13,824.65x = 171,951,535.90
  5. Step 5: Solve for x
    x = 171,951,535.90/13,824.65
  6. Step 6: Final answer
    x = 12,438.04

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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.