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Finding the Fourth Proportional to 2,766, 4,148.52 and 1,123.44

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Solution

The fourth proportional to 2,766, 4,148.52 and 1,123.44 is: 1,684.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766 : 4,148.52 = 1,123.44 : x
  2. Step 2: Convert to fraction form
    2,766/4,148.52 = 1,123.44/x
  3. Step 3: Cross multiply
    2,766x = 4,148.52 × 1,123.44
  4. Step 4: Simplify right side
    2,766x = 4,660,613.31
  5. Step 5: Solve for x
    x = 4,660,613.31/2,766
  6. Step 6: Final answer
    x = 1,684.97

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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.