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Finding the Fourth Proportional to 11.83, 17.78 and 6.76

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Solution

The fourth proportional to 11.83, 17.78 and 6.76 is: 10.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.83 : 17.78 = 6.76 : x
  2. Step 2: Convert to fraction form
    11.83/17.78 = 6.76/x
  3. Step 3: Cross multiply
    11.83x = 17.78 × 6.76
  4. Step 4: Simplify right side
    11.83x = 120.26
  5. Step 5: Solve for x
    x = 120.26/11.83
  6. Step 6: Final answer
    x = 10.16

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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.