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Finding the Fourth Proportional to 8,709.81, 13,066.68 and 3,163.14

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Solution

The fourth proportional to 8,709.81, 13,066.68 and 3,163.14 is: 4,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.81 : 13,066.68 = 3,163.14 : x
  2. Step 2: Convert to fraction form
    8,709.81/13,066.68 = 3,163.14/x
  3. Step 3: Cross multiply
    8,709.81x = 13,066.68 × 3,163.14
  4. Step 4: Simplify right side
    8,709.81x = 41,331,738.18
  5. Step 5: Solve for x
    x = 41,331,738.18/8,709.81
  6. Step 6: Final answer
    x = 4,745.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.