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Finding the Fourth Proportional to 14.00, 20.90 and 12.86

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Solution

The fourth proportional to 14.00, 20.90 and 12.86 is: 19.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.00 : 20.90 = 12.86 : x
  2. Step 2: Convert to fraction form
    14.00/20.90 = 12.86/x
  3. Step 3: Cross multiply
    14.00x = 20.90 × 12.86
  4. Step 4: Simplify right side
    14.00x = 268.78
  5. Step 5: Solve for x
    x = 268.78/14.00
  6. Step 6: Final answer
    x = 19.21

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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.