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Finding the Fourth Proportional to 10,083.98, 15,129.20 and 4,163.65

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Solution

The fourth proportional to 10,083.98, 15,129.20 and 4,163.65 is: 6,246.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.98 : 15,129.20 = 4,163.65 : x
  2. Step 2: Convert to fraction form
    10,083.98/15,129.20 = 4,163.65/x
  3. Step 3: Cross multiply
    10,083.98x = 15,129.20 × 4,163.65
  4. Step 4: Simplify right side
    10,083.98x = 62,992,693.58
  5. Step 5: Solve for x
    x = 62,992,693.58/10,083.98
  6. Step 6: Final answer
    x = 6,246.81

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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.