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Finding the Fourth Proportional to 37.82, 52.25 and 35.79

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Solution

The fourth proportional to 37.82, 52.25 and 35.79 is: 49.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.82 : 52.25 = 35.79 : x
  2. Step 2: Convert to fraction form
    37.82/52.25 = 35.79/x
  3. Step 3: Cross multiply
    37.82x = 52.25 × 35.79
  4. Step 4: Simplify right side
    37.82x = 1,870.03
  5. Step 5: Solve for x
    x = 1,870.03/37.82
  6. Step 6: Final answer
    x = 49.45

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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.