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Finding the Fourth Proportional to 23,162.80, 31,964.86 and 13,600.20

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Solution

The fourth proportional to 23,162.80, 31,964.86 and 13,600.20 is: 18,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,162.80 : 31,964.86 = 13,600.20 : x
  2. Step 2: Convert to fraction form
    23,162.80/31,964.86 = 13,600.20/x
  3. Step 3: Cross multiply
    23,162.80x = 31,964.86 × 13,600.20
  4. Step 4: Simplify right side
    23,162.80x = 434,728,488.97
  5. Step 5: Solve for x
    x = 434,728,488.97/23,162.80
  6. Step 6: Final answer
    x = 18,768.39

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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.