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Finding the Fourth Proportional to 8,949.97, 12,357.53 and 8,286.49

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Solution

The fourth proportional to 8,949.97, 12,357.53 and 8,286.49 is: 11,441.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,949.97 : 12,357.53 = 8,286.49 : x
  2. Step 2: Convert to fraction form
    8,949.97/12,357.53 = 8,286.49/x
  3. Step 3: Cross multiply
    8,949.97x = 12,357.53 × 8,286.49
  4. Step 4: Simplify right side
    8,949.97x = 102,400,507.34
  5. Step 5: Solve for x
    x = 102,400,507.34/8,949.97
  6. Step 6: Final answer
    x = 11,441.44

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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.