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Finding the Fourth Proportional to 12,249.81, 18,375.69 and 3,815.28

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Solution

The fourth proportional to 12,249.81, 18,375.69 and 3,815.28 is: 5,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.81 : 18,375.69 = 3,815.28 : x
  2. Step 2: Convert to fraction form
    12,249.81/18,375.69 = 3,815.28/x
  3. Step 3: Cross multiply
    12,249.81x = 18,375.69 × 3,815.28
  4. Step 4: Simplify right side
    12,249.81x = 70,108,402.54
  5. Step 5: Solve for x
    x = 70,108,402.54/12,249.81
  6. Step 6: Final answer
    x = 5,723.22

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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.