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Finding the Fourth Proportional to 19,049.38, 28,578.60 and 7,949.90

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Solution

The fourth proportional to 19,049.38, 28,578.60 and 7,949.90 is: 11,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.38 : 28,578.60 = 7,949.90 : x
  2. Step 2: Convert to fraction form
    19,049.38/28,578.60 = 7,949.90/x
  3. Step 3: Cross multiply
    19,049.38x = 28,578.60 × 7,949.90
  4. Step 4: Simplify right side
    19,049.38x = 227,197,012.14
  5. Step 5: Solve for x
    x = 227,197,012.14/19,049.38
  6. Step 6: Final answer
    x = 11,926.74

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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.