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Finding the Fourth Proportional to 8,222.76, 12,336.17 and 2,379.96

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Solution

The fourth proportional to 8,222.76, 12,336.17 and 2,379.96 is: 3,570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.76 : 12,336.17 = 2,379.96 : x
  2. Step 2: Convert to fraction form
    8,222.76/12,336.17 = 2,379.96/x
  3. Step 3: Cross multiply
    8,222.76x = 12,336.17 × 2,379.96
  4. Step 4: Simplify right side
    8,222.76x = 29,359,579.25
  5. Step 5: Solve for x
    x = 29,359,579.25/8,222.76
  6. Step 6: Final answer
    x = 3,570.53

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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.