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Finding the Fourth Proportional to 22,109.10, 33,160.35 and 8,065.83

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Solution

The fourth proportional to 22,109.10, 33,160.35 and 8,065.83 is: 12,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,109.10 : 33,160.35 = 8,065.83 : x
  2. Step 2: Convert to fraction form
    22,109.10/33,160.35 = 8,065.83/x
  3. Step 3: Cross multiply
    22,109.10x = 33,160.35 × 8,065.83
  4. Step 4: Simplify right side
    22,109.10x = 267,465,745.84
  5. Step 5: Solve for x
    x = 267,465,745.84/22,109.10
  6. Step 6: Final answer
    x = 12,097.54

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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.