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Finding the Fourth Proportional to 32.05, 43.98 and 31.71

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Solution

The fourth proportional to 32.05, 43.98 and 31.71 is: 43.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.05 : 43.98 = 31.71 : x
  2. Step 2: Convert to fraction form
    32.05/43.98 = 31.71/x
  3. Step 3: Cross multiply
    32.05x = 43.98 × 31.71
  4. Step 4: Simplify right side
    32.05x = 1,394.45
  5. Step 5: Solve for x
    x = 1,394.45/32.05
  6. Step 6: Final answer
    x = 43.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.