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Finding the Fourth Proportional to 12,198.91, 16,835.98 and 7,163.60

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Solution

The fourth proportional to 12,198.91, 16,835.98 and 7,163.60 is: 9,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,198.91 : 16,835.98 = 7,163.60 : x
  2. Step 2: Convert to fraction form
    12,198.91/16,835.98 = 7,163.60/x
  3. Step 3: Cross multiply
    12,198.91x = 16,835.98 × 7,163.60
  4. Step 4: Simplify right side
    12,198.91x = 120,606,226.33
  5. Step 5: Solve for x
    x = 120,606,226.33/12,198.91
  6. Step 6: Final answer
    x = 9,886.64

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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.