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Finding the Fourth Proportional to 2,865.23, 4,296.92 and 916.97

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Solution

The fourth proportional to 2,865.23, 4,296.92 and 916.97 is: 1,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,865.23 : 4,296.92 = 916.97 : x
  2. Step 2: Convert to fraction form
    2,865.23/4,296.92 = 916.97/x
  3. Step 3: Cross multiply
    2,865.23x = 4,296.92 × 916.97
  4. Step 4: Simplify right side
    2,865.23x = 3,940,142.15
  5. Step 5: Solve for x
    x = 3,940,142.15/2,865.23
  6. Step 6: Final answer
    x = 1,375.16

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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.