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Finding the Fourth Proportional to 20,002, 29,986.80 and 8,323.96

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Solution

The fourth proportional to 20,002, 29,986.80 and 8,323.96 is: 12,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,002 : 29,986.80 = 8,323.96 : x
  2. Step 2: Convert to fraction form
    20,002/29,986.80 = 8,323.96/x
  3. Step 3: Cross multiply
    20,002x = 29,986.80 × 8,323.96
  4. Step 4: Simplify right side
    20,002x = 249,608,923.73
  5. Step 5: Solve for x
    x = 249,608,923.73/20,002
  6. Step 6: Final answer
    x = 12,479.20

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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.