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Finding the Fourth Proportional to 2,668.69, 4,002.93 and 819.71

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Solution

The fourth proportional to 2,668.69, 4,002.93 and 819.71 is: 1,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.69 : 4,002.93 = 819.71 : x
  2. Step 2: Convert to fraction form
    2,668.69/4,002.93 = 819.71/x
  3. Step 3: Cross multiply
    2,668.69x = 4,002.93 × 819.71
  4. Step 4: Simplify right side
    2,668.69x = 3,281,241.75
  5. Step 5: Solve for x
    x = 3,281,241.75/2,668.69
  6. Step 6: Final answer
    x = 1,229.53

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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.