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Finding the Fourth Proportional to 34.39, 51.59 and 13.84

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Solution

The fourth proportional to 34.39, 51.59 and 13.84 is: 20.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.39 : 51.59 = 13.84 : x
  2. Step 2: Convert to fraction form
    34.39/51.59 = 13.84/x
  3. Step 3: Cross multiply
    34.39x = 51.59 × 13.84
  4. Step 4: Simplify right side
    34.39x = 713.83
  5. Step 5: Solve for x
    x = 713.83/34.39
  6. Step 6: Final answer
    x = 20.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.