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Finding the Fourth Proportional to 61.67, 84.37 and 61.41

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Solution

The fourth proportional to 61.67, 84.37 and 61.41 is: 84.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.67 : 84.37 = 61.41 : x
  2. Step 2: Convert to fraction form
    61.67/84.37 = 61.41/x
  3. Step 3: Cross multiply
    61.67x = 84.37 × 61.41
  4. Step 4: Simplify right side
    61.67x = 5,180.85
  5. Step 5: Solve for x
    x = 5,180.85/61.67
  6. Step 6: Final answer
    x = 84.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.