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Finding the Fourth Proportional to 19,198.62, 28,797.84 and 8,102.34

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Solution

The fourth proportional to 19,198.62, 28,797.84 and 8,102.34 is: 12,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,198.62 : 28,797.84 = 8,102.34 : x
  2. Step 2: Convert to fraction form
    19,198.62/28,797.84 = 8,102.34/x
  3. Step 3: Cross multiply
    19,198.62x = 28,797.84 × 8,102.34
  4. Step 4: Simplify right side
    19,198.62x = 233,329,890.95
  5. Step 5: Solve for x
    x = 233,329,890.95/19,198.62
  6. Step 6: Final answer
    x = 12,153.47

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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.