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Finding the Fourth Proportional to 8.35, 12.54 and 3.85

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Solution

The fourth proportional to 8.35, 12.54 and 3.85 is: 5.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.35 : 12.54 = 3.85 : x
  2. Step 2: Convert to fraction form
    8.35/12.54 = 3.85/x
  3. Step 3: Cross multiply
    8.35x = 12.54 × 3.85
  4. Step 4: Simplify right side
    8.35x = 48.24
  5. Step 5: Solve for x
    x = 48.24/8.35
  6. Step 6: Final answer
    x = 5.78

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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.