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Finding the Fourth Proportional to 7,884.62, 11,834.22 and 3,991.76

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Solution

The fourth proportional to 7,884.62, 11,834.22 and 3,991.76 is: 5,991.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.62 : 11,834.22 = 3,991.76 : x
  2. Step 2: Convert to fraction form
    7,884.62/11,834.22 = 3,991.76/x
  3. Step 3: Cross multiply
    7,884.62x = 11,834.22 × 3,991.76
  4. Step 4: Simplify right side
    7,884.62x = 47,239,366.03
  5. Step 5: Solve for x
    x = 47,239,366.03/7,884.62
  6. Step 6: Final answer
    x = 5,991.33

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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.