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Finding the Fourth Proportional to 2,249.50, 3,375.99 and 1,561

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Solution

The fourth proportional to 2,249.50, 3,375.99 and 1,561 is: 2,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.50 : 3,375.99 = 1,561 : x
  2. Step 2: Convert to fraction form
    2,249.50/3,375.99 = 1,561/x
  3. Step 3: Cross multiply
    2,249.50x = 3,375.99 × 1,561
  4. Step 4: Simplify right side
    2,249.50x = 5,269,920.39
  5. Step 5: Solve for x
    x = 5,269,920.39/2,249.50
  6. Step 6: Final answer
    x = 2,342.71

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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.