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Finding the Fourth Proportional to 2,001.29, 3,001.58 and 540.11

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Solution

The fourth proportional to 2,001.29, 3,001.58 and 540.11 is: 810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.29 : 3,001.58 = 540.11 : x
  2. Step 2: Convert to fraction form
    2,001.29/3,001.58 = 540.11/x
  3. Step 3: Cross multiply
    2,001.29x = 3,001.58 × 540.11
  4. Step 4: Simplify right side
    2,001.29x = 1,621,170.62
  5. Step 5: Solve for x
    x = 1,621,170.62/2,001.29
  6. Step 6: Final answer
    x = 810.06

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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.