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Finding the Fourth Proportional to 27.86, 38.50 and 23.72

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Solution

The fourth proportional to 27.86, 38.50 and 23.72 is: 32.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.86 : 38.50 = 23.72 : x
  2. Step 2: Convert to fraction form
    27.86/38.50 = 23.72/x
  3. Step 3: Cross multiply
    27.86x = 38.50 × 23.72
  4. Step 4: Simplify right side
    27.86x = 913.22
  5. Step 5: Solve for x
    x = 913.22/27.86
  6. Step 6: Final answer
    x = 32.78

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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.