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Finding the Fourth Proportional to 12,097.92, 18,122.58 and 8,817.96

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Solution

The fourth proportional to 12,097.92, 18,122.58 and 8,817.96 is: 13,209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.92 : 18,122.58 = 8,817.96 : x
  2. Step 2: Convert to fraction form
    12,097.92/18,122.58 = 8,817.96/x
  3. Step 3: Cross multiply
    12,097.92x = 18,122.58 × 8,817.96
  4. Step 4: Simplify right side
    12,097.92x = 159,804,185.54
  5. Step 5: Solve for x
    x = 159,804,185.54/12,097.92
  6. Step 6: Final answer
    x = 13,209.23

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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.