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Finding the Fourth Proportional to 84.87, 115.65 and 82.89

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Solution

The fourth proportional to 84.87, 115.65 and 82.89 is: 112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.87 : 115.65 = 82.89 : x
  2. Step 2: Convert to fraction form
    84.87/115.65 = 82.89/x
  3. Step 3: Cross multiply
    84.87x = 115.65 × 82.89
  4. Step 4: Simplify right side
    84.87x = 9,586.23
  5. Step 5: Solve for x
    x = 9,586.23/84.87
  6. Step 6: Final answer
    x = 112.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.