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Finding the Fourth Proportional to 41.87, 57.74 and 28.05

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Solution

The fourth proportional to 41.87, 57.74 and 28.05 is: 38.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.87 : 57.74 = 28.05 : x
  2. Step 2: Convert to fraction form
    41.87/57.74 = 28.05/x
  3. Step 3: Cross multiply
    41.87x = 57.74 × 28.05
  4. Step 4: Simplify right side
    41.87x = 1,619.33
  5. Step 5: Solve for x
    x = 1,619.33/41.87
  6. Step 6: Final answer
    x = 38.68

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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.