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Finding the Fourth Proportional to 26.72, 39.75 and 26.09

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Solution

The fourth proportional to 26.72, 39.75 and 26.09 is: 38.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.72 : 39.75 = 26.09 : x
  2. Step 2: Convert to fraction form
    26.72/39.75 = 26.09/x
  3. Step 3: Cross multiply
    26.72x = 39.75 × 26.09
  4. Step 4: Simplify right side
    26.72x = 1,036.88
  5. Step 5: Solve for x
    x = 1,036.88/26.72
  6. Step 6: Final answer
    x = 38.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.