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Finding the Fourth Proportional to 2,002.76, 3,004.13 and 542.02

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Solution

The fourth proportional to 2,002.76, 3,004.13 and 542.02 is: 813.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.76 : 3,004.13 = 542.02 : x
  2. Step 2: Convert to fraction form
    2,002.76/3,004.13 = 542.02/x
  3. Step 3: Cross multiply
    2,002.76x = 3,004.13 × 542.02
  4. Step 4: Simplify right side
    2,002.76x = 1,628,298.54
  5. Step 5: Solve for x
    x = 1,628,298.54/2,002.76
  6. Step 6: Final answer
    x = 813.03

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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.