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Finding the Fourth Proportional to 39.75, 59.78 and 36.47

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Solution

The fourth proportional to 39.75, 59.78 and 36.47 is: 54.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.75 : 59.78 = 36.47 : x
  2. Step 2: Convert to fraction form
    39.75/59.78 = 36.47/x
  3. Step 3: Cross multiply
    39.75x = 59.78 × 36.47
  4. Step 4: Simplify right side
    39.75x = 2,180.18
  5. Step 5: Solve for x
    x = 2,180.18/39.75
  6. Step 6: Final answer
    x = 54.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.