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Finding the Fourth Proportional to 11.78, 16.21 and 10.49

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Solution

The fourth proportional to 11.78, 16.21 and 10.49 is: 14.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.78 : 16.21 = 10.49 : x
  2. Step 2: Convert to fraction form
    11.78/16.21 = 10.49/x
  3. Step 3: Cross multiply
    11.78x = 16.21 × 10.49
  4. Step 4: Simplify right side
    11.78x = 169.91
  5. Step 5: Solve for x
    x = 169.91/11.78
  6. Step 6: Final answer
    x = 14.43

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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.