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Finding the Fourth Proportional to 3,859.70, 5,789.43 and 2,115.77

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Solution

The fourth proportional to 3,859.70, 5,789.43 and 2,115.77 is: 3,173.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.70 : 5,789.43 = 2,115.77 : x
  2. Step 2: Convert to fraction form
    3,859.70/5,789.43 = 2,115.77/x
  3. Step 3: Cross multiply
    3,859.70x = 5,789.43 × 2,115.77
  4. Step 4: Simplify right side
    3,859.70x = 12,249,073.36
  5. Step 5: Solve for x
    x = 12,249,073.36/3,859.70
  6. Step 6: Final answer
    x = 3,173.59

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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.