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Finding the Fourth Proportional to 2,575.75, 3,861.88 and 820.23

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Solution

The fourth proportional to 2,575.75, 3,861.88 and 820.23 is: 1,229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.75 : 3,861.88 = 820.23 : x
  2. Step 2: Convert to fraction form
    2,575.75/3,861.88 = 820.23/x
  3. Step 3: Cross multiply
    2,575.75x = 3,861.88 × 820.23
  4. Step 4: Simplify right side
    2,575.75x = 3,167,613.30
  5. Step 5: Solve for x
    x = 3,167,613.30/2,575.75
  6. Step 6: Final answer
    x = 1,229.78

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1.5x scale

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.