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Finding the Fourth Proportional to 2,002.41, 3,003.61 and 541.60

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Solution

The fourth proportional to 2,002.41, 3,003.61 and 541.60 is: 812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.41 : 3,003.61 = 541.60 : x
  2. Step 2: Convert to fraction form
    2,002.41/3,003.61 = 541.60/x
  3. Step 3: Cross multiply
    2,002.41x = 3,003.61 × 541.60
  4. Step 4: Simplify right side
    2,002.41x = 1,626,755.18
  5. Step 5: Solve for x
    x = 1,626,755.18/2,002.41
  6. Step 6: Final answer
    x = 812.40

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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.