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Finding the Fourth Proportional to 12,286.80, 18,432.90 and 3,965.40

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Solution

The fourth proportional to 12,286.80, 18,432.90 and 3,965.40 is: 5,948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.80 : 18,432.90 = 3,965.40 : x
  2. Step 2: Convert to fraction form
    12,286.80/18,432.90 = 3,965.40/x
  3. Step 3: Cross multiply
    12,286.80x = 18,432.90 × 3,965.40
  4. Step 4: Simplify right side
    12,286.80x = 73,093,821.66
  5. Step 5: Solve for x
    x = 73,093,821.66/12,286.80
  6. Step 6: Final answer
    x = 5,948.97

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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.