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Finding the Fourth Proportional to 31,812.30, 43,920 and 19,891.80

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Solution

The fourth proportional to 31,812.30, 43,920 and 19,891.80 is: 27,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,812.30 : 43,920 = 19,891.80 : x
  2. Step 2: Convert to fraction form
    31,812.30/43,920 = 19,891.80/x
  3. Step 3: Cross multiply
    31,812.30x = 43,920 × 19,891.80
  4. Step 4: Simplify right side
    31,812.30x = 873,647,856
  5. Step 5: Solve for x
    x = 873,647,856/31,812.30
  6. Step 6: Final answer
    x = 27,462.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.