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Finding the Fourth Proportional to 12,154.69, 18,233.85 and 3,833.83

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Solution

The fourth proportional to 12,154.69, 18,233.85 and 3,833.83 is: 5,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.69 : 18,233.85 = 3,833.83 : x
  2. Step 2: Convert to fraction form
    12,154.69/18,233.85 = 3,833.83/x
  3. Step 3: Cross multiply
    12,154.69x = 18,233.85 × 3,833.83
  4. Step 4: Simplify right side
    12,154.69x = 69,905,481.15
  5. Step 5: Solve for x
    x = 69,905,481.15/12,154.69
  6. Step 6: Final answer
    x = 5,751.32

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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.