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Finding the Fourth Proportional to 34.51, 47.64 and 28.09

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Solution

The fourth proportional to 34.51, 47.64 and 28.09 is: 38.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.51 : 47.64 = 28.09 : x
  2. Step 2: Convert to fraction form
    34.51/47.64 = 28.09/x
  3. Step 3: Cross multiply
    34.51x = 47.64 × 28.09
  4. Step 4: Simplify right side
    34.51x = 1,338.21
  5. Step 5: Solve for x
    x = 1,338.21/34.51
  6. Step 6: Final answer
    x = 38.78

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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.