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Finding the Fourth Proportional to 7.91, 10.91 and 5.75

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Solution

The fourth proportional to 7.91, 10.91 and 5.75 is: 7.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.91 : 10.91 = 5.75 : x
  2. Step 2: Convert to fraction form
    7.91/10.91 = 5.75/x
  3. Step 3: Cross multiply
    7.91x = 10.91 × 5.75
  4. Step 4: Simplify right side
    7.91x = 62.73
  5. Step 5: Solve for x
    x = 62.73/7.91
  6. Step 6: Final answer
    x = 7.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.