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Finding the Fourth Proportional to 20,566, 30,861.69 and 8,083.83

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Solution

The fourth proportional to 20,566, 30,861.69 and 8,083.83 is: 12,130.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,566 : 30,861.69 = 8,083.83 : x
  2. Step 2: Convert to fraction form
    20,566/30,861.69 = 8,083.83/x
  3. Step 3: Cross multiply
    20,566x = 30,861.69 × 8,083.83
  4. Step 4: Simplify right side
    20,566x = 249,480,655.47
  5. Step 5: Solve for x
    x = 249,480,655.47/20,566
  6. Step 6: Final answer
    x = 12,130.73

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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.