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Finding the Fourth Proportional to 47.51, 71.13 and 31.21

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Solution

The fourth proportional to 47.51, 71.13 and 31.21 is: 46.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.51 : 71.13 = 31.21 : x
  2. Step 2: Convert to fraction form
    47.51/71.13 = 31.21/x
  3. Step 3: Cross multiply
    47.51x = 71.13 × 31.21
  4. Step 4: Simplify right side
    47.51x = 2,219.97
  5. Step 5: Solve for x
    x = 2,219.97/47.51
  6. Step 6: Final answer
    x = 46.73

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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.