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Finding the Fourth Proportional to 60.95, 84.06 and 37.61

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Solution

The fourth proportional to 60.95, 84.06 and 37.61 is: 51.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.95 : 84.06 = 37.61 : x
  2. Step 2: Convert to fraction form
    60.95/84.06 = 37.61/x
  3. Step 3: Cross multiply
    60.95x = 84.06 × 37.61
  4. Step 4: Simplify right side
    60.95x = 3,161.50
  5. Step 5: Solve for x
    x = 3,161.50/60.95
  6. Step 6: Final answer
    x = 51.87

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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.