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Finding the Fourth Proportional to 2,181, 3,009.84 and 1,249.44

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Solution

The fourth proportional to 2,181, 3,009.84 and 1,249.44 is: 1,724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181 : 3,009.84 = 1,249.44 : x
  2. Step 2: Convert to fraction form
    2,181/3,009.84 = 1,249.44/x
  3. Step 3: Cross multiply
    2,181x = 3,009.84 × 1,249.44
  4. Step 4: Simplify right side
    2,181x = 3,760,614.49
  5. Step 5: Solve for x
    x = 3,760,614.49/2,181
  6. Step 6: Final answer
    x = 1,724.26

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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.