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Finding the Fourth Proportional to 2,668.02, 4,002.12 and 819.18

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Solution

The fourth proportional to 2,668.02, 4,002.12 and 819.18 is: 1,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.02 : 4,002.12 = 819.18 : x
  2. Step 2: Convert to fraction form
    2,668.02/4,002.12 = 819.18/x
  3. Step 3: Cross multiply
    2,668.02x = 4,002.12 × 819.18
  4. Step 4: Simplify right side
    2,668.02x = 3,278,456.66
  5. Step 5: Solve for x
    x = 3,278,456.66/2,668.02
  6. Step 6: Final answer
    x = 1,228.80

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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.