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Finding the Fourth Proportional to 27.56, 41.34 and 9.54

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Solution

The fourth proportional to 27.56, 41.34 and 9.54 is: 14.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.56 : 41.34 = 9.54 : x
  2. Step 2: Convert to fraction form
    27.56/41.34 = 9.54/x
  3. Step 3: Cross multiply
    27.56x = 41.34 × 9.54
  4. Step 4: Simplify right side
    27.56x = 394.18
  5. Step 5: Solve for x
    x = 394.18/27.56
  6. Step 6: Final answer
    x = 14.31

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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.