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Finding the Fourth Proportional to 13,793.64, 20,765.80 and 9,438.52

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Solution

The fourth proportional to 13,793.64, 20,765.80 and 9,438.52 is: 14,209.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.64 : 20,765.80 = 9,438.52 : x
  2. Step 2: Convert to fraction form
    13,793.64/20,765.80 = 9,438.52/x
  3. Step 3: Cross multiply
    13,793.64x = 20,765.80 × 9,438.52
  4. Step 4: Simplify right side
    13,793.64x = 195,998,418.62
  5. Step 5: Solve for x
    x = 195,998,418.62/13,793.64
  6. Step 6: Final answer
    x = 14,209.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.