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Finding the Fourth Proportional to 8,286.84, 12,414.78 and 4,393.80

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Solution

The fourth proportional to 8,286.84, 12,414.78 and 4,393.80 is: 6,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.84 : 12,414.78 = 4,393.80 : x
  2. Step 2: Convert to fraction form
    8,286.84/12,414.78 = 4,393.80/x
  3. Step 3: Cross multiply
    8,286.84x = 12,414.78 × 4,393.80
  4. Step 4: Simplify right side
    8,286.84x = 54,548,060.36
  5. Step 5: Solve for x
    x = 54,548,060.36/8,286.84
  6. Step 6: Final answer
    x = 6,582.49

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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.