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Finding the Fourth Proportional to 36.02, 49.71 and 27.82

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Solution

The fourth proportional to 36.02, 49.71 and 27.82 is: 38.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.02 : 49.71 = 27.82 : x
  2. Step 2: Convert to fraction form
    36.02/49.71 = 27.82/x
  3. Step 3: Cross multiply
    36.02x = 49.71 × 27.82
  4. Step 4: Simplify right side
    36.02x = 1,382.93
  5. Step 5: Solve for x
    x = 1,382.93/36.02
  6. Step 6: Final answer
    x = 38.39

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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.