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Finding the Fourth Proportional to 2,581.21, 3,872.40 and 849.85

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Solution

The fourth proportional to 2,581.21, 3,872.40 and 849.85 is: 1,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.21 : 3,872.40 = 849.85 : x
  2. Step 2: Convert to fraction form
    2,581.21/3,872.40 = 849.85/x
  3. Step 3: Cross multiply
    2,581.21x = 3,872.40 × 849.85
  4. Step 4: Simplify right side
    2,581.21x = 3,290,959.14
  5. Step 5: Solve for x
    x = 3,290,959.14/2,581.21
  6. Step 6: Final answer
    x = 1,274.97

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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.