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Finding the Fourth Proportional to 12.09, 16.70 and 8.43

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Solution

The fourth proportional to 12.09, 16.70 and 8.43 is: 11.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.09 : 16.70 = 8.43 : x
  2. Step 2: Convert to fraction form
    12.09/16.70 = 8.43/x
  3. Step 3: Cross multiply
    12.09x = 16.70 × 8.43
  4. Step 4: Simplify right side
    12.09x = 140.78
  5. Step 5: Solve for x
    x = 140.78/12.09
  6. Step 6: Final answer
    x = 11.64

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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.