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Finding the Fourth Proportional to 8,238.42, 12,357.65 and 1,998.41

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Solution

The fourth proportional to 8,238.42, 12,357.65 and 1,998.41 is: 2,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.42 : 12,357.65 = 1,998.41 : x
  2. Step 2: Convert to fraction form
    8,238.42/12,357.65 = 1,998.41/x
  3. Step 3: Cross multiply
    8,238.42x = 12,357.65 × 1,998.41
  4. Step 4: Simplify right side
    8,238.42x = 24,695,594.54
  5. Step 5: Solve for x
    x = 24,695,594.54/8,238.42
  6. Step 6: Final answer
    x = 2,997.61

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.