Home / 7,982.91-11,969.21-3,822.82

Finding the Fourth Proportional to 7,982.91, 11,969.21 and 3,822.82

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Solution

The fourth proportional to 7,982.91, 11,969.21 and 3,822.82 is: 5,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.91 : 11,969.21 = 3,822.82 : x
  2. Step 2: Convert to fraction form
    7,982.91/11,969.21 = 3,822.82/x
  3. Step 3: Cross multiply
    7,982.91x = 11,969.21 × 3,822.82
  4. Step 4: Simplify right side
    7,982.91x = 45,756,115.01
  5. Step 5: Solve for x
    x = 45,756,115.01/7,982.91
  6. Step 6: Final answer
    x = 5,731.76

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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.