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Finding the Fourth Proportional to 8.35, 12.52 and 2.34

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Solution

The fourth proportional to 8.35, 12.52 and 2.34 is: 3.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.35 : 12.52 = 2.34 : x
  2. Step 2: Convert to fraction form
    8.35/12.52 = 2.34/x
  3. Step 3: Cross multiply
    8.35x = 12.52 × 2.34
  4. Step 4: Simplify right side
    8.35x = 29.27
  5. Step 5: Solve for x
    x = 29.27/8.35
  6. Step 6: Final answer
    x = 3.51

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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.