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Finding the Fourth Proportional to 8,267.81, 12,399.07 and 2,719.87

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Solution

The fourth proportional to 8,267.81, 12,399.07 and 2,719.87 is: 4,078.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.81 : 12,399.07 = 2,719.87 : x
  2. Step 2: Convert to fraction form
    8,267.81/12,399.07 = 2,719.87/x
  3. Step 3: Cross multiply
    8,267.81x = 12,399.07 × 2,719.87
  4. Step 4: Simplify right side
    8,267.81x = 33,723,858.52
  5. Step 5: Solve for x
    x = 33,723,858.52/8,267.81
  6. Step 6: Final answer
    x = 4,078.93

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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.