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Finding the Fourth Proportional to 14.28, 19.74 and 12.91

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Solution

The fourth proportional to 14.28, 19.74 and 12.91 is: 17.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.28 : 19.74 = 12.91 : x
  2. Step 2: Convert to fraction form
    14.28/19.74 = 12.91/x
  3. Step 3: Cross multiply
    14.28x = 19.74 × 12.91
  4. Step 4: Simplify right side
    14.28x = 254.84
  5. Step 5: Solve for x
    x = 254.84/14.28
  6. Step 6: Final answer
    x = 17.85

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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.