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Finding the Fourth Proportional to 31,666, 47,499 and 13,198

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Solution

The fourth proportional to 31,666, 47,499 and 13,198 is: 19,797

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666 : 47,499 = 13,198 : x
  2. Step 2: Convert to fraction form
    31,666/47,499 = 13,198/x
  3. Step 3: Cross multiply
    31,666x = 47,499 × 13,198
  4. Step 4: Simplify right side
    31,666x = 626,891,802
  5. Step 5: Solve for x
    x = 626,891,802/31,666
  6. Step 6: Final answer
    x = 19,797

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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.