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Finding the Fourth Proportional to 12,604.25, 18,909.25 and 3,839.85

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Solution

The fourth proportional to 12,604.25, 18,909.25 and 3,839.85 is: 5,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.25 : 18,909.25 = 3,839.85 : x
  2. Step 2: Convert to fraction form
    12,604.25/18,909.25 = 3,839.85/x
  3. Step 3: Cross multiply
    12,604.25x = 18,909.25 × 3,839.85
  4. Step 4: Simplify right side
    12,604.25x = 72,608,674.01
  5. Step 5: Solve for x
    x = 72,608,674.01/12,604.25
  6. Step 6: Final answer
    x = 5,760.65

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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.