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Finding the Fourth Proportional to 7,349.66, 10,143.82 and 4,163.14

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Solution

The fourth proportional to 7,349.66, 10,143.82 and 4,163.14 is: 5,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.66 : 10,143.82 = 4,163.14 : x
  2. Step 2: Convert to fraction form
    7,349.66/10,143.82 = 4,163.14/x
  3. Step 3: Cross multiply
    7,349.66x = 10,143.82 × 4,163.14
  4. Step 4: Simplify right side
    7,349.66x = 42,230,142.79
  5. Step 5: Solve for x
    x = 42,230,142.79/7,349.66
  6. Step 6: Final answer
    x = 5,745.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.