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Finding the Fourth Proportional to 8.64, 11.85 and 8.54

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Solution

The fourth proportional to 8.64, 11.85 and 8.54 is: 11.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.64 : 11.85 = 8.54 : x
  2. Step 2: Convert to fraction form
    8.64/11.85 = 8.54/x
  3. Step 3: Cross multiply
    8.64x = 11.85 × 8.54
  4. Step 4: Simplify right side
    8.64x = 101.14
  5. Step 5: Solve for x
    x = 101.14/8.64
  6. Step 6: Final answer
    x = 11.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.