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Finding the Fourth Proportional to 27.96, 38.52 and 24.72

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Solution

The fourth proportional to 27.96, 38.52 and 24.72 is: 34.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.96 : 38.52 = 24.72 : x
  2. Step 2: Convert to fraction form
    27.96/38.52 = 24.72/x
  3. Step 3: Cross multiply
    27.96x = 38.52 × 24.72
  4. Step 4: Simplify right side
    27.96x = 952.21
  5. Step 5: Solve for x
    x = 952.21/27.96
  6. Step 6: Final answer
    x = 34.06

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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.