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Finding the Fourth Proportional to 2,609, 3,910.76 and 1,149.18

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Solution

The fourth proportional to 2,609, 3,910.76 and 1,149.18 is: 1,722.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609 : 3,910.76 = 1,149.18 : x
  2. Step 2: Convert to fraction form
    2,609/3,910.76 = 1,149.18/x
  3. Step 3: Cross multiply
    2,609x = 3,910.76 × 1,149.18
  4. Step 4: Simplify right side
    2,609x = 4,494,147.62
  5. Step 5: Solve for x
    x = 4,494,147.62/2,609
  6. Step 6: Final answer
    x = 1,722.56

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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.