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Finding the Fourth Proportional to 31.92, 47.56 and 31.06

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Solution

The fourth proportional to 31.92, 47.56 and 31.06 is: 46.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.92 : 47.56 = 31.06 : x
  2. Step 2: Convert to fraction form
    31.92/47.56 = 31.06/x
  3. Step 3: Cross multiply
    31.92x = 47.56 × 31.06
  4. Step 4: Simplify right side
    31.92x = 1,477.21
  5. Step 5: Solve for x
    x = 1,477.21/31.92
  6. Step 6: Final answer
    x = 46.28

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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.