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Finding the Fourth Proportional to 15,198.87, 22,806.50 and 7,407.69

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Solution

The fourth proportional to 15,198.87, 22,806.50 and 7,407.69 is: 11,115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,198.87 : 22,806.50 = 7,407.69 : x
  2. Step 2: Convert to fraction form
    15,198.87/22,806.50 = 7,407.69/x
  3. Step 3: Cross multiply
    15,198.87x = 22,806.50 × 7,407.69
  4. Step 4: Simplify right side
    15,198.87x = 168,943,481.99
  5. Step 5: Solve for x
    x = 168,943,481.99/15,198.87
  6. Step 6: Final answer
    x = 11,115.53

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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.