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Finding the Fourth Proportional to 8.54, 11.80 and 7.68

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Solution

The fourth proportional to 8.54, 11.80 and 7.68 is: 10.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.54 : 11.80 = 7.68 : x
  2. Step 2: Convert to fraction form
    8.54/11.80 = 7.68/x
  3. Step 3: Cross multiply
    8.54x = 11.80 × 7.68
  4. Step 4: Simplify right side
    8.54x = 90.62
  5. Step 5: Solve for x
    x = 90.62/8.54
  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.