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Finding the Fourth Proportional to 31,453.82, 47,183.70 and 10,394

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Solution

The fourth proportional to 31,453.82, 47,183.70 and 10,394 is: 15,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,453.82 : 47,183.70 = 10,394 : x
  2. Step 2: Convert to fraction form
    31,453.82/47,183.70 = 10,394/x
  3. Step 3: Cross multiply
    31,453.82x = 47,183.70 × 10,394
  4. Step 4: Simplify right side
    31,453.82x = 490,427,377.80
  5. Step 5: Solve for x
    x = 490,427,377.80/31,453.82
  6. Step 6: Final answer
    x = 15,591.98

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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.