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Finding the Fourth Proportional to 8.57, 12.89 and 6.67

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Solution

The fourth proportional to 8.57, 12.89 and 6.67 is: 10.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.57 : 12.89 = 6.67 : x
  2. Step 2: Convert to fraction form
    8.57/12.89 = 6.67/x
  3. Step 3: Cross multiply
    8.57x = 12.89 × 6.67
  4. Step 4: Simplify right side
    8.57x = 85.91
  5. Step 5: Solve for x
    x = 85.91/8.57
  6. Step 6: Final answer
    x = 10.02

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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.