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Finding the Fourth Proportional to 31,843.42, 47,764.96 and 8,150.92

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Solution

The fourth proportional to 31,843.42, 47,764.96 and 8,150.92 is: 12,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.42 : 47,764.96 = 8,150.92 : x
  2. Step 2: Convert to fraction form
    31,843.42/47,764.96 = 8,150.92/x
  3. Step 3: Cross multiply
    31,843.42x = 47,764.96 × 8,150.92
  4. Step 4: Simplify right side
    31,843.42x = 389,328,367.76
  5. Step 5: Solve for x
    x = 389,328,367.76/31,843.42
  6. Step 6: Final answer
    x = 12,226.34

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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.