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Finding the Fourth Proportional to 8,286.48, 12,490.56 and 8,169.84

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Solution

The fourth proportional to 8,286.48, 12,490.56 and 8,169.84 is: 12,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.48 : 12,490.56 = 8,169.84 : x
  2. Step 2: Convert to fraction form
    8,286.48/12,490.56 = 8,169.84/x
  3. Step 3: Cross multiply
    8,286.48x = 12,490.56 × 8,169.84
  4. Step 4: Simplify right side
    8,286.48x = 102,045,876.71
  5. Step 5: Solve for x
    x = 102,045,876.71/8,286.48
  6. Step 6: Final answer
    x = 12,314.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.