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Finding the Fourth Proportional to 8,219.00, 12,329.82 and 2,671.92

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Solution

The fourth proportional to 8,219.00, 12,329.82 and 2,671.92 is: 4,008.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.00 : 12,329.82 = 2,671.92 : x
  2. Step 2: Convert to fraction form
    8,219.00/12,329.82 = 2,671.92/x
  3. Step 3: Cross multiply
    8,219.00x = 12,329.82 × 2,671.92
  4. Step 4: Simplify right side
    8,219.00x = 32,944,292.65
  5. Step 5: Solve for x
    x = 32,944,292.65/8,219.00
  6. Step 6: Final answer
    x = 4,008.31

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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.