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Finding the Fourth Proportional to 3,863.64, 5,781.61 and 3,345.43

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Solution

The fourth proportional to 3,863.64, 5,781.61 and 3,345.43 is: 5,006.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.64 : 5,781.61 = 3,345.43 : x
  2. Step 2: Convert to fraction form
    3,863.64/5,781.61 = 3,345.43/x
  3. Step 3: Cross multiply
    3,863.64x = 5,781.61 × 3,345.43
  4. Step 4: Simplify right side
    3,863.64x = 19,341,971.54
  5. Step 5: Solve for x
    x = 19,341,971.54/3,863.64
  6. Step 6: Final answer
    x = 5,006.15

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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.