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Finding the Fourth Proportional to 10,806.99, 16,212.92 and 7,819.31

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Solution

The fourth proportional to 10,806.99, 16,212.92 and 7,819.31 is: 11,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.99 : 16,212.92 = 7,819.31 : x
  2. Step 2: Convert to fraction form
    10,806.99/16,212.92 = 7,819.31/x
  3. Step 3: Cross multiply
    10,806.99x = 16,212.92 × 7,819.31
  4. Step 4: Simplify right side
    10,806.99x = 126,773,727.32
  5. Step 5: Solve for x
    x = 126,773,727.32/10,806.99
  6. Step 6: Final answer
    x = 11,730.72

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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.