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Finding the Fourth Proportional to 27.82, 41.69 and 15.63

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Solution

The fourth proportional to 27.82, 41.69 and 15.63 is: 23.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.82 : 41.69 = 15.63 : x
  2. Step 2: Convert to fraction form
    27.82/41.69 = 15.63/x
  3. Step 3: Cross multiply
    27.82x = 41.69 × 15.63
  4. Step 4: Simplify right side
    27.82x = 651.54
  5. Step 5: Solve for x
    x = 651.54/27.82
  6. Step 6: Final answer
    x = 23.42

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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.