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Finding the Fourth Proportional to 3,879.36, 5,815.26 and 2,144.34

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Solution

The fourth proportional to 3,879.36, 5,815.26 and 2,144.34 is: 3,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.36 : 5,815.26 = 2,144.34 : x
  2. Step 2: Convert to fraction form
    3,879.36/5,815.26 = 2,144.34/x
  3. Step 3: Cross multiply
    3,879.36x = 5,815.26 × 2,144.34
  4. Step 4: Simplify right side
    3,879.36x = 12,469,894.63
  5. Step 5: Solve for x
    x = 12,469,894.63/3,879.36
  6. Step 6: Final answer
    x = 3,214.42

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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.