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Finding the Fourth Proportional to 11.94, 16.48 and 8.06

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Solution

The fourth proportional to 11.94, 16.48 and 8.06 is: 11.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.94 : 16.48 = 8.06 : x
  2. Step 2: Convert to fraction form
    11.94/16.48 = 8.06/x
  3. Step 3: Cross multiply
    11.94x = 16.48 × 8.06
  4. Step 4: Simplify right side
    11.94x = 132.71
  5. Step 5: Solve for x
    x = 132.71/11.94
  6. Step 6: Final answer
    x = 11.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.