Home / 2,581.26-3,872.18-825.86

Finding the Fourth Proportional to 2,581.26, 3,872.18 and 825.86

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Solution

The fourth proportional to 2,581.26, 3,872.18 and 825.86 is: 1,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.26 : 3,872.18 = 825.86 : x
  2. Step 2: Convert to fraction form
    2,581.26/3,872.18 = 825.86/x
  3. Step 3: Cross multiply
    2,581.26x = 3,872.18 × 825.86
  4. Step 4: Simplify right side
    2,581.26x = 3,197,855.08
  5. Step 5: Solve for x
    x = 3,197,855.08/2,581.26
  6. Step 6: Final answer
    x = 1,238.87

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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.