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Finding the Fourth Proportional to 37.82, 57.00 and 36.91

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Solution

The fourth proportional to 37.82, 57.00 and 36.91 is: 55.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.82 : 57.00 = 36.91 : x
  2. Step 2: Convert to fraction form
    37.82/57.00 = 36.91/x
  3. Step 3: Cross multiply
    37.82x = 57.00 × 36.91
  4. Step 4: Simplify right side
    37.82x = 2,103.76
  5. Step 5: Solve for x
    x = 2,103.76/37.82
  6. Step 6: Final answer
    x = 55.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.