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Finding the Fourth Proportional to 32.85, 49.31 and 31.71

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Solution

The fourth proportional to 32.85, 49.31 and 31.71 is: 47.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.85 : 49.31 = 31.71 : x
  2. Step 2: Convert to fraction form
    32.85/49.31 = 31.71/x
  3. Step 3: Cross multiply
    32.85x = 49.31 × 31.71
  4. Step 4: Simplify right side
    32.85x = 1,563.46
  5. Step 5: Solve for x
    x = 1,563.46/32.85
  6. Step 6: Final answer
    x = 47.59

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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.