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Finding the Fourth Proportional to 2,001.28, 3,001.97 and 540.45

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Solution

The fourth proportional to 2,001.28, 3,001.97 and 540.45 is: 810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.28 : 3,001.97 = 540.45 : x
  2. Step 2: Convert to fraction form
    2,001.28/3,001.97 = 540.45/x
  3. Step 3: Cross multiply
    2,001.28x = 3,001.97 × 540.45
  4. Step 4: Simplify right side
    2,001.28x = 1,622,414.69
  5. Step 5: Solve for x
    x = 1,622,414.69/2,001.28
  6. Step 6: Final answer
    x = 810.69

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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.