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Finding the Fourth Proportional to 8,208.76, 12,311.92 and 2,942.98

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Solution

The fourth proportional to 8,208.76, 12,311.92 and 2,942.98 is: 4,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.76 : 12,311.92 = 2,942.98 : x
  2. Step 2: Convert to fraction form
    8,208.76/12,311.92 = 2,942.98/x
  3. Step 3: Cross multiply
    8,208.76x = 12,311.92 × 2,942.98
  4. Step 4: Simplify right side
    8,208.76x = 36,233,658.05
  5. Step 5: Solve for x
    x = 36,233,658.05/8,208.76
  6. Step 6: Final answer
    x = 4,414.02

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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.