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Finding the Fourth Proportional to 34.04, 47.04 and 27.56

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Solution

The fourth proportional to 34.04, 47.04 and 27.56 is: 38.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.04 : 47.04 = 27.56 : x
  2. Step 2: Convert to fraction form
    34.04/47.04 = 27.56/x
  3. Step 3: Cross multiply
    34.04x = 47.04 × 27.56
  4. Step 4: Simplify right side
    34.04x = 1,296.42
  5. Step 5: Solve for x
    x = 1,296.42/34.04
  6. Step 6: Final answer
    x = 38.09

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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.