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Finding the Fourth Proportional to 2,765.31, 4,147.92 and 916.44

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Solution

The fourth proportional to 2,765.31, 4,147.92 and 916.44 is: 1,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.31 : 4,147.92 = 916.44 : x
  2. Step 2: Convert to fraction form
    2,765.31/4,147.92 = 916.44/x
  3. Step 3: Cross multiply
    2,765.31x = 4,147.92 × 916.44
  4. Step 4: Simplify right side
    2,765.31x = 3,801,319.80
  5. Step 5: Solve for x
    x = 3,801,319.80/2,765.31
  6. Step 6: Final answer
    x = 1,374.65

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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.