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Finding the Fourth Proportional to 37.78, 52.08 and 28.59

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Solution

The fourth proportional to 37.78, 52.08 and 28.59 is: 39.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.78 : 52.08 = 28.59 : x
  2. Step 2: Convert to fraction form
    37.78/52.08 = 28.59/x
  3. Step 3: Cross multiply
    37.78x = 52.08 × 28.59
  4. Step 4: Simplify right side
    37.78x = 1,488.97
  5. Step 5: Solve for x
    x = 1,488.97/37.78
  6. Step 6: Final answer
    x = 39.41

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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.