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Finding the Fourth Proportional to 13,198.88, 18,199.50 and 8,412.42

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Solution

The fourth proportional to 13,198.88, 18,199.50 and 8,412.42 is: 11,599.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.88 : 18,199.50 = 8,412.42 : x
  2. Step 2: Convert to fraction form
    13,198.88/18,199.50 = 8,412.42/x
  3. Step 3: Cross multiply
    13,198.88x = 18,199.50 × 8,412.42
  4. Step 4: Simplify right side
    13,198.88x = 153,101,837.79
  5. Step 5: Solve for x
    x = 153,101,837.79/13,198.88
  6. Step 6: Final answer
    x = 11,599.61

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Double scale
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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.