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Finding the Fourth Proportional to 11.06, 16.61 and 9.48

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Solution

The fourth proportional to 11.06, 16.61 and 9.48 is: 14.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.06 : 16.61 = 9.48 : x
  2. Step 2: Convert to fraction form
    11.06/16.61 = 9.48/x
  3. Step 3: Cross multiply
    11.06x = 16.61 × 9.48
  4. Step 4: Simplify right side
    11.06x = 157.46
  5. Step 5: Solve for x
    x = 157.46/11.06
  6. Step 6: Final answer
    x = 14.24

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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.