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Finding the Fourth Proportional to 12,154.70, 18,233.86 and 3,833.84

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Solution

The fourth proportional to 12,154.70, 18,233.86 and 3,833.84 is: 5,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.70 : 18,233.86 = 3,833.84 : x
  2. Step 2: Convert to fraction form
    12,154.70/18,233.86 = 3,833.84/x
  3. Step 3: Cross multiply
    12,154.70x = 18,233.86 × 3,833.84
  4. Step 4: Simplify right side
    12,154.70x = 69,905,701.82
  5. Step 5: Solve for x
    x = 69,905,701.82/12,154.70
  6. Step 6: Final answer
    x = 5,751.33

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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.