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Finding the Fourth Proportional to 60.84, 83.97 and 34.61

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Solution

The fourth proportional to 60.84, 83.97 and 34.61 is: 47.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.84 : 83.97 = 34.61 : x
  2. Step 2: Convert to fraction form
    60.84/83.97 = 34.61/x
  3. Step 3: Cross multiply
    60.84x = 83.97 × 34.61
  4. Step 4: Simplify right side
    60.84x = 2,905.78
  5. Step 5: Solve for x
    x = 2,905.78/60.84
  6. Step 6: Final answer
    x = 47.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.