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Finding the Fourth Proportional to 38.69, 57.73 and 34.12

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Solution

The fourth proportional to 38.69, 57.73 and 34.12 is: 50.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.69 : 57.73 = 34.12 : x
  2. Step 2: Convert to fraction form
    38.69/57.73 = 34.12/x
  3. Step 3: Cross multiply
    38.69x = 57.73 × 34.12
  4. Step 4: Simplify right side
    38.69x = 1,969.52
  5. Step 5: Solve for x
    x = 1,969.52/38.69
  6. Step 6: Final answer
    x = 50.91

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Why These Related Problems?

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