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Finding the Fourth Proportional to 2,609.88, 3,608.57 and 2,281.83

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Solution

The fourth proportional to 2,609.88, 3,608.57 and 2,281.83 is: 3,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.88 : 3,608.57 = 2,281.83 : x
  2. Step 2: Convert to fraction form
    2,609.88/3,608.57 = 2,281.83/x
  3. Step 3: Cross multiply
    2,609.88x = 3,608.57 × 2,281.83
  4. Step 4: Simplify right side
    2,609.88x = 8,234,122.62
  5. Step 5: Solve for x
    x = 8,234,122.62/2,609.88
  6. Step 6: Final answer
    x = 3,154.99

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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.