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Finding the Fourth Proportional to 3,859.85, 5,789.54 and 2,686.43

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Solution

The fourth proportional to 3,859.85, 5,789.54 and 2,686.43 is: 4,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.85 : 5,789.54 = 2,686.43 : x
  2. Step 2: Convert to fraction form
    3,859.85/5,789.54 = 2,686.43/x
  3. Step 3: Cross multiply
    3,859.85x = 5,789.54 × 2,686.43
  4. Step 4: Simplify right side
    3,859.85x = 15,553,215.13
  5. Step 5: Solve for x
    x = 15,553,215.13/3,859.85
  6. Step 6: Final answer
    x = 4,029.48

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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.