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Finding the Fourth Proportional to 11.76, 17.65 and 9.78

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Solution

The fourth proportional to 11.76, 17.65 and 9.78 is: 14.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.76 : 17.65 = 9.78 : x
  2. Step 2: Convert to fraction form
    11.76/17.65 = 9.78/x
  3. Step 3: Cross multiply
    11.76x = 17.65 × 9.78
  4. Step 4: Simplify right side
    11.76x = 172.62
  5. Step 5: Solve for x
    x = 172.62/11.76
  6. Step 6: Final answer
    x = 14.68

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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.