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Finding the Fourth Proportional to 26.74, 39.99 and 19.09

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Solution

The fourth proportional to 26.74, 39.99 and 19.09 is: 28.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.74 : 39.99 = 19.09 : x
  2. Step 2: Convert to fraction form
    26.74/39.99 = 19.09/x
  3. Step 3: Cross multiply
    26.74x = 39.99 × 19.09
  4. Step 4: Simplify right side
    26.74x = 763.41
  5. Step 5: Solve for x
    x = 763.41/26.74
  6. Step 6: Final answer
    x = 28.55

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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.