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Finding the Fourth Proportional to 2,001.24, 3,001.14 and 768.02

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Solution

The fourth proportional to 2,001.24, 3,001.14 and 768.02 is: 1,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.24 : 3,001.14 = 768.02 : x
  2. Step 2: Convert to fraction form
    2,001.24/3,001.14 = 768.02/x
  3. Step 3: Cross multiply
    2,001.24x = 3,001.14 × 768.02
  4. Step 4: Simplify right side
    2,001.24x = 2,304,920.54
  5. Step 5: Solve for x
    x = 2,304,920.54/2,001.24
  6. Step 6: Final answer
    x = 1,151.75

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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.