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Finding the Fourth Proportional to 12,083.13, 18,121.86 and 5,839.92

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Solution

The fourth proportional to 12,083.13, 18,121.86 and 5,839.92 is: 8,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.13 : 18,121.86 = 5,839.92 : x
  2. Step 2: Convert to fraction form
    12,083.13/18,121.86 = 5,839.92/x
  3. Step 3: Cross multiply
    12,083.13x = 18,121.86 × 5,839.92
  4. Step 4: Simplify right side
    12,083.13x = 105,830,212.65
  5. Step 5: Solve for x
    x = 105,830,212.65/12,083.13
  6. Step 6: Final answer
    x = 8,758.51

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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.