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Finding the Fourth Proportional to 2,001.99, 3,003.14 and 541.15

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Solution

The fourth proportional to 2,001.99, 3,003.14 and 541.15 is: 811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.99 : 3,003.14 = 541.15 : x
  2. Step 2: Convert to fraction form
    2,001.99/3,003.14 = 541.15/x
  3. Step 3: Cross multiply
    2,001.99x = 3,003.14 × 541.15
  4. Step 4: Simplify right side
    2,001.99x = 1,625,149.21
  5. Step 5: Solve for x
    x = 1,625,149.21/2,001.99
  6. Step 6: Final answer
    x = 811.77

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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.