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Finding the Fourth Proportional to 31.71, 47.81 and 31.32

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Solution

The fourth proportional to 31.71, 47.81 and 31.32 is: 47.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.71 : 47.81 = 31.32 : x
  2. Step 2: Convert to fraction form
    31.71/47.81 = 31.32/x
  3. Step 3: Cross multiply
    31.71x = 47.81 × 31.32
  4. Step 4: Simplify right side
    31.71x = 1,497.25
  5. Step 5: Solve for x
    x = 1,497.25/31.71
  6. Step 6: Final answer
    x = 47.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.