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Finding the Fourth Proportional to 31.71, 47.33 and 28.05

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Solution

The fourth proportional to 31.71, 47.33 and 28.05 is: 41.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 47.33 = 28.05 : x
  2. Step 2: Convert to fraction form
    31.71/47.33 = 28.05/x
  3. Step 3: Cross multiply
    31.71x = 47.33 × 28.05
  4. Step 4: Simplify right side
    31.71x = 1,327.47
  5. Step 5: Solve for x
    x = 1,327.47/31.71
  6. Step 6: Final answer
    x = 41.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.