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Finding the Fourth Proportional to 14, 19.45 and 13.87

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Solution

The fourth proportional to 14, 19.45 and 13.87 is: 19.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 19.45 = 13.87 : x
  2. Step 2: Convert to fraction form
    14/19.45 = 13.87/x
  3. Step 3: Cross multiply
    14x = 19.45 × 13.87
  4. Step 4: Simplify right side
    14x = 269.77
  5. Step 5: Solve for x
    x = 269.77/14
  6. Step 6: Final answer
    x = 19.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.