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Finding the Fourth Proportional to 13.77, 18.97 and 12.56

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Solution

The fourth proportional to 13.77, 18.97 and 12.56 is: 17.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.77 : 18.97 = 12.56 : x
  2. Step 2: Convert to fraction form
    13.77/18.97 = 12.56/x
  3. Step 3: Cross multiply
    13.77x = 18.97 × 12.56
  4. Step 4: Simplify right side
    13.77x = 238.14
  5. Step 5: Solve for x
    x = 238.14/13.77
  6. Step 6: Final answer
    x = 17.29

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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.