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Finding the Fourth Proportional to 12,063.60, 18,092.16 and 8,191.80

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Solution

The fourth proportional to 12,063.60, 18,092.16 and 8,191.80 is: 12,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,063.60 : 18,092.16 = 8,191.80 : x
  2. Step 2: Convert to fraction form
    12,063.60/18,092.16 = 8,191.80/x
  3. Step 3: Cross multiply
    12,063.60x = 18,092.16 × 8,191.80
  4. Step 4: Simplify right side
    12,063.60x = 148,207,356.29
  5. Step 5: Solve for x
    x = 148,207,356.29/12,063.60
  6. Step 6: Final answer
    x = 12,285.50

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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.