Home / 7,822.84-11,738.06-3,439.73

Finding the Fourth Proportional to 7,822.84, 11,738.06 and 3,439.73

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Solution

The fourth proportional to 7,822.84, 11,738.06 and 3,439.73 is: 5,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.84 : 11,738.06 = 3,439.73 : x
  2. Step 2: Convert to fraction form
    7,822.84/11,738.06 = 3,439.73/x
  3. Step 3: Cross multiply
    7,822.84x = 11,738.06 × 3,439.73
  4. Step 4: Simplify right side
    7,822.84x = 40,375,757.12
  5. Step 5: Solve for x
    x = 40,375,757.12/7,822.84
  6. Step 6: Final answer
    x = 5,161.27

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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.