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Finding the Fourth Proportional to 9,198.99, 12,707.42 and 8,857.62

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Solution

The fourth proportional to 9,198.99, 12,707.42 and 8,857.62 is: 12,235.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.99 : 12,707.42 = 8,857.62 : x
  2. Step 2: Convert to fraction form
    9,198.99/12,707.42 = 8,857.62/x
  3. Step 3: Cross multiply
    9,198.99x = 12,707.42 × 8,857.62
  4. Step 4: Simplify right side
    9,198.99x = 112,557,453.25
  5. Step 5: Solve for x
    x = 112,557,453.25/9,198.99
  6. Step 6: Final answer
    x = 12,235.85

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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.