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Finding the Fourth Proportional to 38.82, 57.94 and 34.26

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Solution

The fourth proportional to 38.82, 57.94 and 34.26 is: 51.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.82 : 57.94 = 34.26 : x
  2. Step 2: Convert to fraction form
    38.82/57.94 = 34.26/x
  3. Step 3: Cross multiply
    38.82x = 57.94 × 34.26
  4. Step 4: Simplify right side
    38.82x = 1,985.02
  5. Step 5: Solve for x
    x = 1,985.02/38.82
  6. Step 6: Final answer
    x = 51.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.