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Finding the Fourth Proportional to 31,914.67, 47,872.01 and 8,540.50

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Solution

The fourth proportional to 31,914.67, 47,872.01 and 8,540.50 is: 12,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.67 : 47,872.01 = 8,540.50 : x
  2. Step 2: Convert to fraction form
    31,914.67/47,872.01 = 8,540.50/x
  3. Step 3: Cross multiply
    31,914.67x = 47,872.01 × 8,540.50
  4. Step 4: Simplify right side
    31,914.67x = 408,850,901.41
  5. Step 5: Solve for x
    x = 408,850,901.41/31,914.67
  6. Step 6: Final answer
    x = 12,810.75

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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.