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Finding the Fourth Proportional to 12,092.67, 18,137.12 and 5,427.80

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Solution

The fourth proportional to 12,092.67, 18,137.12 and 5,427.80 is: 8,140.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.67 : 18,137.12 = 5,427.80 : x
  2. Step 2: Convert to fraction form
    12,092.67/18,137.12 = 5,427.80/x
  3. Step 3: Cross multiply
    12,092.67x = 18,137.12 × 5,427.80
  4. Step 4: Simplify right side
    12,092.67x = 98,444,542.11
  5. Step 5: Solve for x
    x = 98,444,542.11/12,092.67
  6. Step 6: Final answer
    x = 8,140.84

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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.