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Finding the Fourth Proportional to 19,282.64, 28,928.21 and 8,198.82

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Solution

The fourth proportional to 19,282.64, 28,928.21 and 8,198.82 is: 12,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.64 : 28,928.21 = 8,198.82 : x
  2. Step 2: Convert to fraction form
    19,282.64/28,928.21 = 8,198.82/x
  3. Step 3: Cross multiply
    19,282.64x = 28,928.21 × 8,198.82
  4. Step 4: Simplify right side
    19,282.64x = 237,177,145.72
  5. Step 5: Solve for x
    x = 237,177,145.72/19,282.64
  6. Step 6: Final answer
    x = 12,300.04

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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.