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Finding the Fourth Proportional to 13,311.52, 18,379.14 and 8,278

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Solution

The fourth proportional to 13,311.52, 18,379.14 and 8,278 is: 11,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.52 : 18,379.14 = 8,278 : x
  2. Step 2: Convert to fraction form
    13,311.52/18,379.14 = 8,278/x
  3. Step 3: Cross multiply
    13,311.52x = 18,379.14 × 8,278
  4. Step 4: Simplify right side
    13,311.52x = 152,142,520.92
  5. Step 5: Solve for x
    x = 152,142,520.92/13,311.52
  6. Step 6: Final answer
    x = 11,429.39

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Why These Related Problems?

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