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Finding the Fourth Proportional to 2,002.73, 3,001.96 and 769.60

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Solution

The fourth proportional to 2,002.73, 3,001.96 and 769.60 is: 1,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.73 : 3,001.96 = 769.60 : x
  2. Step 2: Convert to fraction form
    2,002.73/3,001.96 = 769.60/x
  3. Step 3: Cross multiply
    2,002.73x = 3,001.96 × 769.60
  4. Step 4: Simplify right side
    2,002.73x = 2,310,313.13
  5. Step 5: Solve for x
    x = 2,310,313.13/2,002.73
  6. Step 6: Final answer
    x = 1,153.58

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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.