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Finding the Fourth Proportional to 12,203.92, 16,836.84 and 7,168.30

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Solution

The fourth proportional to 12,203.92, 16,836.84 and 7,168.30 is: 9,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.92 : 16,836.84 = 7,168.30 : x
  2. Step 2: Convert to fraction form
    12,203.92/16,836.84 = 7,168.30/x
  3. Step 3: Cross multiply
    12,203.92x = 16,836.84 × 7,168.30
  4. Step 4: Simplify right side
    12,203.92x = 120,691,520.17
  5. Step 5: Solve for x
    x = 120,691,520.17/12,203.92
  6. Step 6: Final answer
    x = 9,889.57

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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.