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Finding the Fourth Proportional to 39.65, 54.60 and 37.82

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Solution

The fourth proportional to 39.65, 54.60 and 37.82 is: 52.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.65 : 54.60 = 37.82 : x
  2. Step 2: Convert to fraction form
    39.65/54.60 = 37.82/x
  3. Step 3: Cross multiply
    39.65x = 54.60 × 37.82
  4. Step 4: Simplify right side
    39.65x = 2,064.97
  5. Step 5: Solve for x
    x = 2,064.97/39.65
  6. Step 6: Final answer
    x = 52.09

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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.