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Finding the Fourth Proportional to 7,872.82, 11,806.80 and 3,493.96

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Solution

The fourth proportional to 7,872.82, 11,806.80 and 3,493.96 is: 5,239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.82 : 11,806.80 = 3,493.96 : x
  2. Step 2: Convert to fraction form
    7,872.82/11,806.80 = 3,493.96/x
  3. Step 3: Cross multiply
    7,872.82x = 11,806.80 × 3,493.96
  4. Step 4: Simplify right side
    7,872.82x = 41,252,486.93
  5. Step 5: Solve for x
    x = 41,252,486.93/7,872.82
  6. Step 6: Final answer
    x = 5,239.86

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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.