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Finding the Fourth Proportional to 2,862.78, 4,294.44 and 1,131

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Solution

The fourth proportional to 2,862.78, 4,294.44 and 1,131 is: 1,696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.78 : 4,294.44 = 1,131 : x
  2. Step 2: Convert to fraction form
    2,862.78/4,294.44 = 1,131/x
  3. Step 3: Cross multiply
    2,862.78x = 4,294.44 × 1,131
  4. Step 4: Simplify right side
    2,862.78x = 4,857,011.64
  5. Step 5: Solve for x
    x = 4,857,011.64/2,862.78
  6. Step 6: Final answer
    x = 1,696.61

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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.