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Finding the Fourth Proportional to 31,910.33, 47,872.40 and 9,723.12

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Solution

The fourth proportional to 31,910.33, 47,872.40 and 9,723.12 is: 14,586.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,910.33 : 47,872.40 = 9,723.12 : x
  2. Step 2: Convert to fraction form
    31,910.33/47,872.40 = 9,723.12/x
  3. Step 3: Cross multiply
    31,910.33x = 47,872.40 × 9,723.12
  4. Step 4: Simplify right side
    31,910.33x = 465,469,041.27
  5. Step 5: Solve for x
    x = 465,469,041.27/31,910.33
  6. Step 6: Final answer
    x = 14,586.78

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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.