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Finding the Fourth Proportional to 31,805.80, 47,694.30 and 12,077.80

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Solution

The fourth proportional to 31,805.80, 47,694.30 and 12,077.80 is: 18,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,805.80 : 47,694.30 = 12,077.80 : x
  2. Step 2: Convert to fraction form
    31,805.80/47,694.30 = 12,077.80/x
  3. Step 3: Cross multiply
    31,805.80x = 47,694.30 × 12,077.80
  4. Step 4: Simplify right side
    31,805.80x = 576,042,216.54
  5. Step 5: Solve for x
    x = 576,042,216.54/31,805.80
  6. Step 6: Final answer
    x = 18,111.23

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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.