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Finding the Fourth Proportional to 7,884.76, 11,821.22 and 3,722.38

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Solution

The fourth proportional to 7,884.76, 11,821.22 and 3,722.38 is: 5,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.76 : 11,821.22 = 3,722.38 : x
  2. Step 2: Convert to fraction form
    7,884.76/11,821.22 = 3,722.38/x
  3. Step 3: Cross multiply
    7,884.76x = 11,821.22 × 3,722.38
  4. Step 4: Simplify right side
    7,884.76x = 44,003,072.90
  5. Step 5: Solve for x
    x = 44,003,072.90/7,884.76
  6. Step 6: Final answer
    x = 5,580.78

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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.