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Finding the Fourth Proportional to 83.93, 115.78 and 52.86

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Solution

The fourth proportional to 83.93, 115.78 and 52.86 is: 72.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.93 : 115.78 = 52.86 : x
  2. Step 2: Convert to fraction form
    83.93/115.78 = 52.86/x
  3. Step 3: Cross multiply
    83.93x = 115.78 × 52.86
  4. Step 4: Simplify right side
    83.93x = 6,120.01
  5. Step 5: Solve for x
    x = 6,120.01/83.93
  6. Step 6: Final answer
    x = 72.91

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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.