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Finding the Fourth Proportional to 39,870, 55,017.36 and 22,879.44

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Solution

The fourth proportional to 39,870, 55,017.36 and 22,879.44 is: 31,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,870 : 55,017.36 = 22,879.44 : x
  2. Step 2: Convert to fraction form
    39,870/55,017.36 = 22,879.44/x
  3. Step 3: Cross multiply
    39,870x = 55,017.36 × 22,879.44
  4. Step 4: Simplify right side
    39,870x = 1,258,766,387.08
  5. Step 5: Solve for x
    x = 1,258,766,387.08/39,870
  6. Step 6: Final answer
    x = 31,571.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.