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Finding the Fourth Proportional to 2,249.88, 3,374.87 and 689.92

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Solution

The fourth proportional to 2,249.88, 3,374.87 and 689.92 is: 1,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.88 : 3,374.87 = 689.92 : x
  2. Step 2: Convert to fraction form
    2,249.88/3,374.87 = 689.92/x
  3. Step 3: Cross multiply
    2,249.88x = 3,374.87 × 689.92
  4. Step 4: Simplify right side
    2,249.88x = 2,328,378.42
  5. Step 5: Solve for x
    x = 2,328,378.42/2,249.88
  6. Step 6: Final answer
    x = 1,034.89

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1.5x scale

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.