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Finding the Fourth Proportional to 2,001.40, 3,001.75 and 540.21

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Solution

The fourth proportional to 2,001.40, 3,001.75 and 540.21 is: 810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.40 : 3,001.75 = 540.21 : x
  2. Step 2: Convert to fraction form
    2,001.40/3,001.75 = 540.21/x
  3. Step 3: Cross multiply
    2,001.40x = 3,001.75 × 540.21
  4. Step 4: Simplify right side
    2,001.40x = 1,621,575.37
  5. Step 5: Solve for x
    x = 1,621,575.37/2,001.40
  6. Step 6: Final answer
    x = 810.22

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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.