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Finding the Fourth Proportional to 2,581.69, 3,560.11 and 2,209.90

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Solution

The fourth proportional to 2,581.69, 3,560.11 and 2,209.90 is: 3,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.69 : 3,560.11 = 2,209.90 : x
  2. Step 2: Convert to fraction form
    2,581.69/3,560.11 = 2,209.90/x
  3. Step 3: Cross multiply
    2,581.69x = 3,560.11 × 2,209.90
  4. Step 4: Simplify right side
    2,581.69x = 7,867,487.09
  5. Step 5: Solve for x
    x = 7,867,487.09/2,581.69
  6. Step 6: Final answer
    x = 3,047.42

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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.