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Finding the Fourth Proportional to 7.75, 11.62 and 7.66

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Solution

The fourth proportional to 7.75, 11.62 and 7.66 is: 11.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 11.62 = 7.66 : x
  2. Step 2: Convert to fraction form
    7.75/11.62 = 7.66/x
  3. Step 3: Cross multiply
    7.75x = 11.62 × 7.66
  4. Step 4: Simplify right side
    7.75x = 89.01
  5. Step 5: Solve for x
    x = 89.01/7.75
  6. Step 6: Final answer
    x = 11.49

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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.