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Finding the Fourth Proportional to 31,992.87, 47,983.84 and 8,613.84

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Solution

The fourth proportional to 31,992.87, 47,983.84 and 8,613.84 is: 12,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.87 : 47,983.84 = 8,613.84 : x
  2. Step 2: Convert to fraction form
    31,992.87/47,983.84 = 8,613.84/x
  3. Step 3: Cross multiply
    31,992.87x = 47,983.84 × 8,613.84
  4. Step 4: Simplify right side
    31,992.87x = 413,325,327.20
  5. Step 5: Solve for x
    x = 413,325,327.20/31,992.87
  6. Step 6: Final answer
    x = 12,919.29

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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.