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Finding the Fourth Proportional to 2,002.74, 3,003.64 and 542.00

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Solution

The fourth proportional to 2,002.74, 3,003.64 and 542.00 is: 812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.74 : 3,003.64 = 542.00 : x
  2. Step 2: Convert to fraction form
    2,002.74/3,003.64 = 542.00/x
  3. Step 3: Cross multiply
    2,002.74x = 3,003.64 × 542.00
  4. Step 4: Simplify right side
    2,002.74x = 1,627,979.03
  5. Step 5: Solve for x
    x = 1,627,979.03/2,002.74
  6. Step 6: Final answer
    x = 812.88

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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.