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Finding the Fourth Proportional to 2,001.39, 3,001.63 and 540.66

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Solution

The fourth proportional to 2,001.39, 3,001.63 and 540.66 is: 810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.39 : 3,001.63 = 540.66 : x
  2. Step 2: Convert to fraction form
    2,001.39/3,001.63 = 540.66/x
  3. Step 3: Cross multiply
    2,001.39x = 3,001.63 × 540.66
  4. Step 4: Simplify right side
    2,001.39x = 1,622,861.28
  5. Step 5: Solve for x
    x = 1,622,861.28/2,001.39
  6. Step 6: Final answer
    x = 810.87

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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.