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Finding the Fourth Proportional to 8,511.39, 12,796.25 and 7,869.87

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Solution

The fourth proportional to 8,511.39, 12,796.25 and 7,869.87 is: 11,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.39 : 12,796.25 = 7,869.87 : x
  2. Step 2: Convert to fraction form
    8,511.39/12,796.25 = 7,869.87/x
  3. Step 3: Cross multiply
    8,511.39x = 12,796.25 × 7,869.87
  4. Step 4: Simplify right side
    8,511.39x = 100,704,784.64
  5. Step 5: Solve for x
    x = 100,704,784.64/8,511.39
  6. Step 6: Final answer
    x = 11,831.77

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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.