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Finding the Fourth Proportional to 8,060.20, 12,078.96 and 6,409.42

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Solution

The fourth proportional to 8,060.20, 12,078.96 and 6,409.42 is: 9,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,060.20 : 12,078.96 = 6,409.42 : x
  2. Step 2: Convert to fraction form
    8,060.20/12,078.96 = 6,409.42/x
  3. Step 3: Cross multiply
    8,060.20x = 12,078.96 × 6,409.42
  4. Step 4: Simplify right side
    8,060.20x = 77,419,127.80
  5. Step 5: Solve for x
    x = 77,419,127.80/8,060.20
  6. Step 6: Final answer
    x = 9,605.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.