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Finding the Fourth Proportional to 84.92, 126.91 and 62.14

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Solution

The fourth proportional to 84.92, 126.91 and 62.14 is: 92.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.92 : 126.91 = 62.14 : x
  2. Step 2: Convert to fraction form
    84.92/126.91 = 62.14/x
  3. Step 3: Cross multiply
    84.92x = 126.91 × 62.14
  4. Step 4: Simplify right side
    84.92x = 7,886.19
  5. Step 5: Solve for x
    x = 7,886.19/84.92
  6. Step 6: Final answer
    x = 92.87

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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.