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Finding the Fourth Proportional to 84.74, 127.07 and 41.41

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Solution

The fourth proportional to 84.74, 127.07 and 41.41 is: 62.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.74 : 127.07 = 41.41 : x
  2. Step 2: Convert to fraction form
    84.74/127.07 = 41.41/x
  3. Step 3: Cross multiply
    84.74x = 127.07 × 41.41
  4. Step 4: Simplify right side
    84.74x = 5,261.87
  5. Step 5: Solve for x
    x = 5,261.87/84.74
  6. Step 6: Final answer
    x = 62.09

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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.