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Finding the Fourth Proportional to 12,234.40, 16,884.84 and 8,456.40

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Solution

The fourth proportional to 12,234.40, 16,884.84 and 8,456.40 is: 11,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.40 : 16,884.84 = 8,456.40 : x
  2. Step 2: Convert to fraction form
    12,234.40/16,884.84 = 8,456.40/x
  3. Step 3: Cross multiply
    12,234.40x = 16,884.84 × 8,456.40
  4. Step 4: Simplify right side
    12,234.40x = 142,784,960.98
  5. Step 5: Solve for x
    x = 142,784,960.98/12,234.40
  6. Step 6: Final answer
    x = 11,670.78

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1.5x scale

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.