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Finding the Fourth Proportional to 2,002.19, 3,003.19 and 541.38

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Solution

The fourth proportional to 2,002.19, 3,003.19 and 541.38 is: 812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.19 : 3,003.19 = 541.38 : x
  2. Step 2: Convert to fraction form
    2,002.19/3,003.19 = 541.38/x
  3. Step 3: Cross multiply
    2,002.19x = 3,003.19 × 541.38
  4. Step 4: Simplify right side
    2,002.19x = 1,625,879.96
  5. Step 5: Solve for x
    x = 1,625,879.96/2,002.19
  6. Step 6: Final answer
    x = 812.05

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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.