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Finding the Fourth Proportional to 8,092.18, 12,142.98 and 3,411.90

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Solution

The fourth proportional to 8,092.18, 12,142.98 and 3,411.90 is: 5,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.18 : 12,142.98 = 3,411.90 : x
  2. Step 2: Convert to fraction form
    8,092.18/12,142.98 = 3,411.90/x
  3. Step 3: Cross multiply
    8,092.18x = 12,142.98 × 3,411.90
  4. Step 4: Simplify right side
    8,092.18x = 41,430,633.46
  5. Step 5: Solve for x
    x = 41,430,633.46/8,092.18
  6. Step 6: Final answer
    x = 5,119.84

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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.