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Finding the Fourth Proportional to 12,286.62, 16,949.07 and 8,309.07

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Solution

The fourth proportional to 12,286.62, 16,949.07 and 8,309.07 is: 11,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.62 : 16,949.07 = 8,309.07 : x
  2. Step 2: Convert to fraction form
    12,286.62/16,949.07 = 8,309.07/x
  3. Step 3: Cross multiply
    12,286.62x = 16,949.07 × 8,309.07
  4. Step 4: Simplify right side
    12,286.62x = 140,831,009.06
  5. Step 5: Solve for x
    x = 140,831,009.06/12,286.62
  6. Step 6: Final answer
    x = 11,462.14

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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.