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Finding the Fourth Proportional to 2,080.92, 2,872.24 and 1,294.50

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Solution

The fourth proportional to 2,080.92, 2,872.24 and 1,294.50 is: 1,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.92 : 2,872.24 = 1,294.50 : x
  2. Step 2: Convert to fraction form
    2,080.92/2,872.24 = 1,294.50/x
  3. Step 3: Cross multiply
    2,080.92x = 2,872.24 × 1,294.50
  4. Step 4: Simplify right side
    2,080.92x = 3,718,114.68
  5. Step 5: Solve for x
    x = 3,718,114.68/2,080.92
  6. Step 6: Final answer
    x = 1,786.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.