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Finding the Fourth Proportional to 38.85, 57.95 and 36

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Solution

The fourth proportional to 38.85, 57.95 and 36 is: 53.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.85 : 57.95 = 36 : x
  2. Step 2: Convert to fraction form
    38.85/57.95 = 36/x
  3. Step 3: Cross multiply
    38.85x = 57.95 × 36
  4. Step 4: Simplify right side
    38.85x = 2,086.02
  5. Step 5: Solve for x
    x = 2,086.02/38.85
  6. Step 6: Final answer
    x = 53.69

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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.