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Finding the Fourth Proportional to 2,002.80, 3,004.56 and 616.13

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Solution

The fourth proportional to 2,002.80, 3,004.56 and 616.13 is: 924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.80 : 3,004.56 = 616.13 : x
  2. Step 2: Convert to fraction form
    2,002.80/3,004.56 = 616.13/x
  3. Step 3: Cross multiply
    2,002.80x = 3,004.56 × 616.13
  4. Step 4: Simplify right side
    2,002.80x = 1,851,184.53
  5. Step 5: Solve for x
    x = 1,851,184.53/2,002.80
  6. Step 6: Final answer
    x = 924.30

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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.