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Finding the Fourth Proportional to 11.78, 17.62 and 8.78

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Solution

The fourth proportional to 11.78, 17.62 and 8.78 is: 13.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 17.62 = 8.78 : x
  2. Step 2: Convert to fraction form
    11.78/17.62 = 8.78/x
  3. Step 3: Cross multiply
    11.78x = 17.62 × 8.78
  4. Step 4: Simplify right side
    11.78x = 154.59
  5. Step 5: Solve for x
    x = 154.59/11.78
  6. Step 6: Final answer
    x = 13.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.