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Finding the Fourth Proportional to 7.66, 11.49 and 4.09

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Solution

The fourth proportional to 7.66, 11.49 and 4.09 is: 6.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.66 : 11.49 = 4.09 : x
  2. Step 2: Convert to fraction form
    7.66/11.49 = 4.09/x
  3. Step 3: Cross multiply
    7.66x = 11.49 × 4.09
  4. Step 4: Simplify right side
    7.66x = 46.99
  5. Step 5: Solve for x
    x = 46.99/7.66
  6. Step 6: Final answer
    x = 6.14

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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.