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Finding the Fourth Proportional to 3,976.03, 5,486.97 and 2,207.80

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Solution

The fourth proportional to 3,976.03, 5,486.97 and 2,207.80 is: 3,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.03 : 5,486.97 = 2,207.80 : x
  2. Step 2: Convert to fraction form
    3,976.03/5,486.97 = 2,207.80/x
  3. Step 3: Cross multiply
    3,976.03x = 5,486.97 × 2,207.80
  4. Step 4: Simplify right side
    3,976.03x = 12,114,132.37
  5. Step 5: Solve for x
    x = 12,114,132.37/3,976.03
  6. Step 6: Final answer
    x = 3,046.79

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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.