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Finding the Fourth Proportional to 10.97, 16.50 and 8.57

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Solution

The fourth proportional to 10.97, 16.50 and 8.57 is: 12.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.97 : 16.50 = 8.57 : x
  2. Step 2: Convert to fraction form
    10.97/16.50 = 8.57/x
  3. Step 3: Cross multiply
    10.97x = 16.50 × 8.57
  4. Step 4: Simplify right side
    10.97x = 141.48
  5. Step 5: Solve for x
    x = 141.48/10.97
  6. Step 6: Final answer
    x = 12.90

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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.