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Finding the Fourth Proportional to 2,004.75, 3,008.42 and 1,080.95

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Solution

The fourth proportional to 2,004.75, 3,008.42 and 1,080.95 is: 1,622.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.75 : 3,008.42 = 1,080.95 : x
  2. Step 2: Convert to fraction form
    2,004.75/3,008.42 = 1,080.95/x
  3. Step 3: Cross multiply
    2,004.75x = 3,008.42 × 1,080.95
  4. Step 4: Simplify right side
    2,004.75x = 3,251,961.82
  5. Step 5: Solve for x
    x = 3,251,961.82/2,004.75
  6. Step 6: Final answer
    x = 1,622.13

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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.