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Finding the Fourth Proportional to 13,793.64, 20,691.68 and 4,434.50

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Solution

The fourth proportional to 13,793.64, 20,691.68 and 4,434.50 is: 6,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.64 : 20,691.68 = 4,434.50 : x
  2. Step 2: Convert to fraction form
    13,793.64/20,691.68 = 4,434.50/x
  3. Step 3: Cross multiply
    13,793.64x = 20,691.68 × 4,434.50
  4. Step 4: Simplify right side
    13,793.64x = 91,757,129.33
  5. Step 5: Solve for x
    x = 91,757,129.33/13,793.64
  6. Step 6: Final answer
    x = 6,652.13

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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.