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Finding the Fourth Proportional to 3,406.88, 5,105.48 and 2,623.92

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Solution

The fourth proportional to 3,406.88, 5,105.48 and 2,623.92 is: 3,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.88 : 5,105.48 = 2,623.92 : x
  2. Step 2: Convert to fraction form
    3,406.88/5,105.48 = 2,623.92/x
  3. Step 3: Cross multiply
    3,406.88x = 5,105.48 × 2,623.92
  4. Step 4: Simplify right side
    3,406.88x = 13,396,371.08
  5. Step 5: Solve for x
    x = 13,396,371.08/3,406.88
  6. Step 6: Final answer
    x = 3,932.15

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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.