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Finding the Fourth Proportional to 12,092.10, 16,692.96 and 8,111.76

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Solution

The fourth proportional to 12,092.10, 16,692.96 and 8,111.76 is: 11,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,092.10 : 16,692.96 = 8,111.76 : x
  2. Step 2: Convert to fraction form
    12,092.10/16,692.96 = 8,111.76/x
  3. Step 3: Cross multiply
    12,092.10x = 16,692.96 × 8,111.76
  4. Step 4: Simplify right side
    12,092.10x = 135,409,285.21
  5. Step 5: Solve for x
    x = 135,409,285.21/12,092.10
  6. Step 6: Final answer
    x = 11,198.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.