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Finding the Fourth Proportional to 20,665.80, 30,980.49 and 8,194.59

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Solution

The fourth proportional to 20,665.80, 30,980.49 and 8,194.59 is: 12,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.80 : 30,980.49 = 8,194.59 : x
  2. Step 2: Convert to fraction form
    20,665.80/30,980.49 = 8,194.59/x
  3. Step 3: Cross multiply
    20,665.80x = 30,980.49 × 8,194.59
  4. Step 4: Simplify right side
    20,665.80x = 253,872,413.55
  5. Step 5: Solve for x
    x = 253,872,413.55/20,665.80
  6. Step 6: Final answer
    x = 12,284.66

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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.