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Finding the Fourth Proportional to 13,854.19, 20,793.03 and 5,540.08

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Solution

The fourth proportional to 13,854.19, 20,793.03 and 5,540.08 is: 8,314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.19 : 20,793.03 = 5,540.08 : x
  2. Step 2: Convert to fraction form
    13,854.19/20,793.03 = 5,540.08/x
  3. Step 3: Cross multiply
    13,854.19x = 20,793.03 × 5,540.08
  4. Step 4: Simplify right side
    13,854.19x = 115,195,049.64
  5. Step 5: Solve for x
    x = 115,195,049.64/13,854.19
  6. Step 6: Final answer
    x = 8,314.82

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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.