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Finding the Fourth Proportional to 19,198.50, 28,778.02 and 7,349.50

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Solution

The fourth proportional to 19,198.50, 28,778.02 and 7,349.50 is: 11,016.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.50 : 28,778.02 = 7,349.50 : x
  2. Step 2: Convert to fraction form
    19,198.50/28,778.02 = 7,349.50/x
  3. Step 3: Cross multiply
    19,198.50x = 28,778.02 × 7,349.50
  4. Step 4: Simplify right side
    19,198.50x = 211,504,057.99
  5. Step 5: Solve for x
    x = 211,504,057.99/19,198.50
  6. Step 6: Final answer
    x = 11,016.70

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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.