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Finding the Fourth Proportional to 26.74, 37.09 and 26.40

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Solution

The fourth proportional to 26.74, 37.09 and 26.40 is: 36.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.74 : 37.09 = 26.40 : x
  2. Step 2: Convert to fraction form
    26.74/37.09 = 26.40/x
  3. Step 3: Cross multiply
    26.74x = 37.09 × 26.40
  4. Step 4: Simplify right side
    26.74x = 979.18
  5. Step 5: Solve for x
    x = 979.18/26.74
  6. Step 6: Final answer
    x = 36.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.