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Finding the Fourth Proportional to 31,992.30, 47,991.32 and 8,618.22

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Solution

The fourth proportional to 31,992.30, 47,991.32 and 8,618.22 is: 12,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.30 : 47,991.32 = 8,618.22 : x
  2. Step 2: Convert to fraction form
    31,992.30/47,991.32 = 8,618.22/x
  3. Step 3: Cross multiply
    31,992.30x = 47,991.32 × 8,618.22
  4. Step 4: Simplify right side
    31,992.30x = 413,599,753.85
  5. Step 5: Solve for x
    x = 413,599,753.85/31,992.30
  6. Step 6: Final answer
    x = 12,928.10

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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.