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Finding the Fourth Proportional to 18,709.74, 25,819.19 and 10,212

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Solution

The fourth proportional to 18,709.74, 25,819.19 and 10,212 is: 14,092.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,709.74 : 25,819.19 = 10,212 : x
  2. Step 2: Convert to fraction form
    18,709.74/25,819.19 = 10,212/x
  3. Step 3: Cross multiply
    18,709.74x = 25,819.19 × 10,212
  4. Step 4: Simplify right side
    18,709.74x = 263,665,517.22
  5. Step 5: Solve for x
    x = 263,665,517.22/18,709.74
  6. Step 6: Final answer
    x = 14,092.42

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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.