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Finding the Fourth Proportional to 3,863.93, 5,788.17 and 1,781.09

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Solution

The fourth proportional to 3,863.93, 5,788.17 and 1,781.09 is: 2,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.93 : 5,788.17 = 1,781.09 : x
  2. Step 2: Convert to fraction form
    3,863.93/5,788.17 = 1,781.09/x
  3. Step 3: Cross multiply
    3,863.93x = 5,788.17 × 1,781.09
  4. Step 4: Simplify right side
    3,863.93x = 10,309,213.86
  5. Step 5: Solve for x
    x = 10,309,213.86/3,863.93
  6. Step 6: Final answer
    x = 2,668.06

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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.