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Finding the Fourth Proportional to 7.29, 10.91 and 3.91

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Solution

The fourth proportional to 7.29, 10.91 and 3.91 is: 5.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.29 : 10.91 = 3.91 : x
  2. Step 2: Convert to fraction form
    7.29/10.91 = 3.91/x
  3. Step 3: Cross multiply
    7.29x = 10.91 × 3.91
  4. Step 4: Simplify right side
    7.29x = 42.65
  5. Step 5: Solve for x
    x = 42.65/7.29
  6. Step 6: Final answer
    x = 5.85

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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.