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Finding the Fourth Proportional to 2,249.91, 3,375.84 and 1,208.69

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Solution

The fourth proportional to 2,249.91, 3,375.84 and 1,208.69 is: 1,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.91 : 3,375.84 = 1,208.69 : x
  2. Step 2: Convert to fraction form
    2,249.91/3,375.84 = 1,208.69/x
  3. Step 3: Cross multiply
    2,249.91x = 3,375.84 × 1,208.69
  4. Step 4: Simplify right side
    2,249.91x = 4,080,356.55
  5. Step 5: Solve for x
    x = 4,080,356.55/2,249.91
  6. Step 6: Final answer
    x = 1,813.56

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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.