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Finding the Fourth Proportional to 2,297.78, 3,170.90 and 1,249.82

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Solution

The fourth proportional to 2,297.78, 3,170.90 and 1,249.82 is: 1,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.78 : 3,170.90 = 1,249.82 : x
  2. Step 2: Convert to fraction form
    2,297.78/3,170.90 = 1,249.82/x
  3. Step 3: Cross multiply
    2,297.78x = 3,170.90 × 1,249.82
  4. Step 4: Simplify right side
    2,297.78x = 3,963,054.24
  5. Step 5: Solve for x
    x = 3,963,054.24/2,297.78
  6. Step 6: Final answer
    x = 1,724.73

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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.