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Finding the Fourth Proportional to 2,249.97, 3,105 and 1,255.32

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Solution

The fourth proportional to 2,249.97, 3,105 and 1,255.32 is: 1,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.97 : 3,105 = 1,255.32 : x
  2. Step 2: Convert to fraction form
    2,249.97/3,105 = 1,255.32/x
  3. Step 3: Cross multiply
    2,249.97x = 3,105 × 1,255.32
  4. Step 4: Simplify right side
    2,249.97x = 3,897,768.60
  5. Step 5: Solve for x
    x = 3,897,768.60/2,249.97
  6. Step 6: Final answer
    x = 1,732.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.