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Finding the Fourth Proportional to 2,256.78, 3,376.11 and 1,951.92

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Solution

The fourth proportional to 2,256.78, 3,376.11 and 1,951.92 is: 2,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,256.78 : 3,376.11 = 1,951.92 : x
  2. Step 2: Convert to fraction form
    2,256.78/3,376.11 = 1,951.92/x
  3. Step 3: Cross multiply
    2,256.78x = 3,376.11 × 1,951.92
  4. Step 4: Simplify right side
    2,256.78x = 6,589,896.63
  5. Step 5: Solve for x
    x = 6,589,896.63/2,256.78
  6. Step 6: Final answer
    x = 2,920.04

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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.