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Finding the Fourth Proportional to 39.54, 59.07 and 31.80

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Solution

The fourth proportional to 39.54, 59.07 and 31.80 is: 47.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.54 : 59.07 = 31.80 : x
  2. Step 2: Convert to fraction form
    39.54/59.07 = 31.80/x
  3. Step 3: Cross multiply
    39.54x = 59.07 × 31.80
  4. Step 4: Simplify right side
    39.54x = 1,878.43
  5. Step 5: Solve for x
    x = 1,878.43/39.54
  6. Step 6: Final answer
    x = 47.51

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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.