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Finding the Fourth Proportional to 2,872.62, 4,308.95 and 1,141.24

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Solution

The fourth proportional to 2,872.62, 4,308.95 and 1,141.24 is: 1,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.62 : 4,308.95 = 1,141.24 : x
  2. Step 2: Convert to fraction form
    2,872.62/4,308.95 = 1,141.24/x
  3. Step 3: Cross multiply
    2,872.62x = 4,308.95 × 1,141.24
  4. Step 4: Simplify right side
    2,872.62x = 4,917,546.10
  5. Step 5: Solve for x
    x = 4,917,546.10/2,872.62
  6. Step 6: Final answer
    x = 1,711.87

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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.