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Finding the Fourth Proportional to 7,906.72, 11,862 and 2,712.80

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Solution

The fourth proportional to 7,906.72, 11,862 and 2,712.80 is: 4,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.72 : 11,862 = 2,712.80 : x
  2. Step 2: Convert to fraction form
    7,906.72/11,862 = 2,712.80/x
  3. Step 3: Cross multiply
    7,906.72x = 11,862 × 2,712.80
  4. Step 4: Simplify right side
    7,906.72x = 32,179,233.60
  5. Step 5: Solve for x
    x = 32,179,233.60/7,906.72
  6. Step 6: Final answer
    x = 4,069.86

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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.