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Finding the Fourth Proportional to 3,854.86, 5,781.86 and 1,081.64

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Solution

The fourth proportional to 3,854.86, 5,781.86 and 1,081.64 is: 1,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.86 : 5,781.86 = 1,081.64 : x
  2. Step 2: Convert to fraction form
    3,854.86/5,781.86 = 1,081.64/x
  3. Step 3: Cross multiply
    3,854.86x = 5,781.86 × 1,081.64
  4. Step 4: Simplify right side
    3,854.86x = 6,253,904.15
  5. Step 5: Solve for x
    x = 6,253,904.15/3,854.86
  6. Step 6: Final answer
    x = 1,622.34

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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.