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Finding the Fourth Proportional to 8,362.11, 12,542.81 and 2,206.11

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Solution

The fourth proportional to 8,362.11, 12,542.81 and 2,206.11 is: 3,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.11 : 12,542.81 = 2,206.11 : x
  2. Step 2: Convert to fraction form
    8,362.11/12,542.81 = 2,206.11/x
  3. Step 3: Cross multiply
    8,362.11x = 12,542.81 × 2,206.11
  4. Step 4: Simplify right side
    8,362.11x = 27,670,807.54
  5. Step 5: Solve for x
    x = 27,670,807.54/8,362.11
  6. Step 6: Final answer
    x = 3,309.07

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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.