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Finding the Fourth Proportional to 37.78, 51.83 and 35.92

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Solution

The fourth proportional to 37.78, 51.83 and 35.92 is: 49.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 51.83 = 35.92 : x
  2. Step 2: Convert to fraction form
    37.78/51.83 = 35.92/x
  3. Step 3: Cross multiply
    37.78x = 51.83 × 35.92
  4. Step 4: Simplify right side
    37.78x = 1,861.73
  5. Step 5: Solve for x
    x = 1,861.73/37.78
  6. Step 6: Final answer
    x = 49.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.