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Finding the Fourth Proportional to 31,773.25, 47,659.88 and 8,399.69

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Solution

The fourth proportional to 31,773.25, 47,659.88 and 8,399.69 is: 12,599.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.25 : 47,659.88 = 8,399.69 : x
  2. Step 2: Convert to fraction form
    31,773.25/47,659.88 = 8,399.69/x
  3. Step 3: Cross multiply
    31,773.25x = 47,659.88 × 8,399.69
  4. Step 4: Simplify right side
    31,773.25x = 400,328,217.44
  5. Step 5: Solve for x
    x = 400,328,217.44/31,773.25
  6. Step 6: Final answer
    x = 12,599.54

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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.