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Finding the Fourth Proportional to 84.74, 126.86 and 44.06

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Solution

The fourth proportional to 84.74, 126.86 and 44.06 is: 65.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 126.86 = 44.06 : x
  2. Step 2: Convert to fraction form
    84.74/126.86 = 44.06/x
  3. Step 3: Cross multiply
    84.74x = 126.86 × 44.06
  4. Step 4: Simplify right side
    84.74x = 5,589.45
  5. Step 5: Solve for x
    x = 5,589.45/84.74
  6. Step 6: Final answer
    x = 65.96

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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.