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Finding the Fourth Proportional to 9,279.30, 13,906.80 and 8,234.40

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Solution

The fourth proportional to 9,279.30, 13,906.80 and 8,234.40 is: 12,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.30 : 13,906.80 = 8,234.40 : x
  2. Step 2: Convert to fraction form
    9,279.30/13,906.80 = 8,234.40/x
  3. Step 3: Cross multiply
    9,279.30x = 13,906.80 × 8,234.40
  4. Step 4: Simplify right side
    9,279.30x = 114,514,153.92
  5. Step 5: Solve for x
    x = 114,514,153.92/9,279.30
  6. Step 6: Final answer
    x = 12,340.82

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1.5x scale

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.