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Finding the Fourth Proportional to 34.07, 51.13 and 13.78

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Solution

The fourth proportional to 34.07, 51.13 and 13.78 is: 20.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.07 : 51.13 = 13.78 : x
  2. Step 2: Convert to fraction form
    34.07/51.13 = 13.78/x
  3. Step 3: Cross multiply
    34.07x = 51.13 × 13.78
  4. Step 4: Simplify right side
    34.07x = 704.58
  5. Step 5: Solve for x
    x = 704.58/34.07
  6. Step 6: Final answer
    x = 20.68

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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.