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Finding the Fourth Proportional to 3,231.95, 4,869.92 and 2,659.78

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Solution

The fourth proportional to 3,231.95, 4,869.92 and 2,659.78 is: 4,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.95 : 4,869.92 = 2,659.78 : x
  2. Step 2: Convert to fraction form
    3,231.95/4,869.92 = 2,659.78/x
  3. Step 3: Cross multiply
    3,231.95x = 4,869.92 × 2,659.78
  4. Step 4: Simplify right side
    3,231.95x = 12,952,890.34
  5. Step 5: Solve for x
    x = 12,952,890.34/3,231.95
  6. Step 6: Final answer
    x = 4,007.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.