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Finding the Fourth Proportional to 16.72, 23.09 and 11.54

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Solution

The fourth proportional to 16.72, 23.09 and 11.54 is: 15.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16.72 : 23.09 = 11.54 : x
  2. Step 2: Convert to fraction form
    16.72/23.09 = 11.54/x
  3. Step 3: Cross multiply
    16.72x = 23.09 × 11.54
  4. Step 4: Simplify right side
    16.72x = 266.29
  5. Step 5: Solve for x
    x = 266.29/16.72
  6. Step 6: Final answer
    x = 15.93

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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.