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Finding the Fourth Proportional to 11.57, 15.97 and 7.69

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Solution

The fourth proportional to 11.57, 15.97 and 7.69 is: 10.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.57 : 15.97 = 7.69 : x
  2. Step 2: Convert to fraction form
    11.57/15.97 = 7.69/x
  3. Step 3: Cross multiply
    11.57x = 15.97 × 7.69
  4. Step 4: Simplify right side
    11.57x = 122.81
  5. Step 5: Solve for x
    x = 122.81/11.57
  6. Step 6: Final answer
    x = 10.61

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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.