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Finding the Fourth Proportional to 8,819.80, 13,209.84 and 6,198.94

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Solution

The fourth proportional to 8,819.80, 13,209.84 and 6,198.94 is: 9,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,819.80 : 13,209.84 = 6,198.94 : x
  2. Step 2: Convert to fraction form
    8,819.80/13,209.84 = 6,198.94/x
  3. Step 3: Cross multiply
    8,819.80x = 13,209.84 × 6,198.94
  4. Step 4: Simplify right side
    8,819.80x = 81,887,005.57
  5. Step 5: Solve for x
    x = 81,887,005.57/8,819.80
  6. Step 6: Final answer
    x = 9,284.45

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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.