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Finding the Fourth Proportional to 2,765.85, 4,149 and 916.92

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Solution

The fourth proportional to 2,765.85, 4,149 and 916.92 is: 1,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.85 : 4,149 = 916.92 : x
  2. Step 2: Convert to fraction form
    2,765.85/4,149 = 916.92/x
  3. Step 3: Cross multiply
    2,765.85x = 4,149 × 916.92
  4. Step 4: Simplify right side
    2,765.85x = 3,804,301.08
  5. Step 5: Solve for x
    x = 3,804,301.08/2,765.85
  6. Step 6: Final answer
    x = 1,375.45

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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.