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Finding the Fourth Proportional to 34.01, 51.02 and 19.75

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Solution

The fourth proportional to 34.01, 51.02 and 19.75 is: 29.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.01 : 51.02 = 19.75 : x
  2. Step 2: Convert to fraction form
    34.01/51.02 = 19.75/x
  3. Step 3: Cross multiply
    34.01x = 51.02 × 19.75
  4. Step 4: Simplify right side
    34.01x = 1,007.55
  5. Step 5: Solve for x
    x = 1,007.55/34.01
  6. Step 6: Final answer
    x = 29.63

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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.