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Finding the Fourth Proportional to 31,179.80, 46,769.70 and 11,449.82

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Solution

The fourth proportional to 31,179.80, 46,769.70 and 11,449.82 is: 17,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.80 : 46,769.70 = 11,449.82 : x
  2. Step 2: Convert to fraction form
    31,179.80/46,769.70 = 11,449.82/x
  3. Step 3: Cross multiply
    31,179.80x = 46,769.70 × 11,449.82
  4. Step 4: Simplify right side
    31,179.80x = 535,504,806.32
  5. Step 5: Solve for x
    x = 535,504,806.32/31,179.80
  6. Step 6: Final answer
    x = 17,174.73

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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.