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Finding the Fourth Proportional to 26.05, 39 and 21.97

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Solution

The fourth proportional to 26.05, 39 and 21.97 is: 32.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.05 : 39 = 21.97 : x
  2. Step 2: Convert to fraction form
    26.05/39 = 21.97/x
  3. Step 3: Cross multiply
    26.05x = 39 × 21.97
  4. Step 4: Simplify right side
    26.05x = 856.64
  5. Step 5: Solve for x
    x = 856.64/26.05
  6. Step 6: Final answer
    x = 32.89

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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.