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Finding the Fourth Proportional to 2,001.70, 3,002.13 and 540.50

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Solution

The fourth proportional to 2,001.70, 3,002.13 and 540.50 is: 810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.70 : 3,002.13 = 540.50 : x
  2. Step 2: Convert to fraction form
    2,001.70/3,002.13 = 540.50/x
  3. Step 3: Cross multiply
    2,001.70x = 3,002.13 × 540.50
  4. Step 4: Simplify right side
    2,001.70x = 1,622,651.27
  5. Step 5: Solve for x
    x = 1,622,651.27/2,001.70
  6. Step 6: Final answer
    x = 810.64

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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.