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Finding the Fourth Proportional to 38.78, 53.75 and 38.06

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Solution

The fourth proportional to 38.78, 53.75 and 38.06 is: 52.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.78 : 53.75 = 38.06 : x
  2. Step 2: Convert to fraction form
    38.78/53.75 = 38.06/x
  3. Step 3: Cross multiply
    38.78x = 53.75 × 38.06
  4. Step 4: Simplify right side
    38.78x = 2,045.73
  5. Step 5: Solve for x
    x = 2,045.73/38.78
  6. Step 6: Final answer
    x = 52.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.