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Finding the Fourth Proportional to 8,092.54, 12,140.34 and 3,161.88

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Solution

The fourth proportional to 8,092.54, 12,140.34 and 3,161.88 is: 4,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.54 : 12,140.34 = 3,161.88 : x
  2. Step 2: Convert to fraction form
    8,092.54/12,140.34 = 3,161.88/x
  3. Step 3: Cross multiply
    8,092.54x = 12,140.34 × 3,161.88
  4. Step 4: Simplify right side
    8,092.54x = 38,386,298.24
  5. Step 5: Solve for x
    x = 38,386,298.24/8,092.54
  6. Step 6: Final answer
    x = 4,743.42

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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.