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Finding the Fourth Proportional to 19,049.30, 28,578.53 and 7,949.82

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Solution

The fourth proportional to 19,049.30, 28,578.53 and 7,949.82 is: 11,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,049.30 : 28,578.53 = 7,949.82 : x
  2. Step 2: Convert to fraction form
    19,049.30/28,578.53 = 7,949.82/x
  3. Step 3: Cross multiply
    19,049.30x = 28,578.53 × 7,949.82
  4. Step 4: Simplify right side
    19,049.30x = 227,194,169.36
  5. Step 5: Solve for x
    x = 227,194,169.36/19,049.30
  6. Step 6: Final answer
    x = 11,926.64

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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.