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Finding the Fourth Proportional to 13,198.73, 18,213.39 and 7,230.38

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Solution

The fourth proportional to 13,198.73, 18,213.39 and 7,230.38 is: 9,977.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.73 : 18,213.39 = 7,230.38 : x
  2. Step 2: Convert to fraction form
    13,198.73/18,213.39 = 7,230.38/x
  3. Step 3: Cross multiply
    13,198.73x = 18,213.39 × 7,230.38
  4. Step 4: Simplify right side
    13,198.73x = 131,689,639.72
  5. Step 5: Solve for x
    x = 131,689,639.72/13,198.73
  6. Step 6: Final answer
    x = 9,977.45

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Half scale
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Double scale
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Similar ratio
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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.