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Finding the Fourth Proportional to 14.17, 21.14 and 12.82

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Solution

The fourth proportional to 14.17, 21.14 and 12.82 is: 19.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.17 : 21.14 = 12.82 : x
  2. Step 2: Convert to fraction form
    14.17/21.14 = 12.82/x
  3. Step 3: Cross multiply
    14.17x = 21.14 × 12.82
  4. Step 4: Simplify right side
    14.17x = 270.85
  5. Step 5: Solve for x
    x = 270.85/14.17
  6. Step 6: Final answer
    x = 19.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.