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Finding the Fourth Proportional to 2,668.56, 4,003.23 and 819.40

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Solution

The fourth proportional to 2,668.56, 4,003.23 and 819.40 is: 1,229.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.56 : 4,003.23 = 819.40 : x
  2. Step 2: Convert to fraction form
    2,668.56/4,003.23 = 819.40/x
  3. Step 3: Cross multiply
    2,668.56x = 4,003.23 × 819.40
  4. Step 4: Simplify right side
    2,668.56x = 3,280,246.66
  5. Step 5: Solve for x
    x = 3,280,246.66/2,668.56
  6. Step 6: Final answer
    x = 1,229.22

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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.