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Finding the Fourth Proportional to 3,857.52, 5,789.91 and 2,009.97

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Solution

The fourth proportional to 3,857.52, 5,789.91 and 2,009.97 is: 3,016.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.52 : 5,789.91 = 2,009.97 : x
  2. Step 2: Convert to fraction form
    3,857.52/5,789.91 = 2,009.97/x
  3. Step 3: Cross multiply
    3,857.52x = 5,789.91 × 2,009.97
  4. Step 4: Simplify right side
    3,857.52x = 11,637,545.40
  5. Step 5: Solve for x
    x = 11,637,545.40/3,857.52
  6. Step 6: Final answer
    x = 3,016.85

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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.