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Finding the Fourth Proportional to 39.62, 59.06 and 38.82

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Solution

The fourth proportional to 39.62, 59.06 and 38.82 is: 57.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.62 : 59.06 = 38.82 : x
  2. Step 2: Convert to fraction form
    39.62/59.06 = 38.82/x
  3. Step 3: Cross multiply
    39.62x = 59.06 × 38.82
  4. Step 4: Simplify right side
    39.62x = 2,292.71
  5. Step 5: Solve for x
    x = 2,292.71/39.62
  6. Step 6: Final answer
    x = 57.87

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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.