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Finding the Fourth Proportional to 31,982.70, 47,911.70 and 19,471.70

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Solution

The fourth proportional to 31,982.70, 47,911.70 and 19,471.70 is: 29,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982.70 : 47,911.70 = 19,471.70 : x
  2. Step 2: Convert to fraction form
    31,982.70/47,911.70 = 19,471.70/x
  3. Step 3: Cross multiply
    31,982.70x = 47,911.70 × 19,471.70
  4. Step 4: Simplify right side
    31,982.70x = 932,921,911.97
  5. Step 5: Solve for x
    x = 932,921,911.97/31,982.70
  6. Step 6: Final answer
    x = 29,169.58

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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.