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Finding the Fourth Proportional to 2,001.09, 3,001.29 and 539.90

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Solution

The fourth proportional to 2,001.09, 3,001.29 and 539.90 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.09 : 3,001.29 = 539.90 : x
  2. Step 2: Convert to fraction form
    2,001.09/3,001.29 = 539.90/x
  3. Step 3: Cross multiply
    2,001.09x = 3,001.29 × 539.90
  4. Step 4: Simplify right side
    2,001.09x = 1,620,390.69
  5. Step 5: Solve for x
    x = 1,620,390.69/2,001.09
  6. Step 6: Final answer
    x = 809.75

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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.