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Finding the Fourth Proportional to 7.20, 10.82 and 3.83

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Solution

The fourth proportional to 7.20, 10.82 and 3.83 is: 5.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.20 : 10.82 = 3.83 : x
  2. Step 2: Convert to fraction form
    7.20/10.82 = 3.83/x
  3. Step 3: Cross multiply
    7.20x = 10.82 × 3.83
  4. Step 4: Simplify right side
    7.20x = 41.37
  5. Step 5: Solve for x
    x = 41.37/7.20
  6. Step 6: Final answer
    x = 5.75

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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.