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Finding the Fourth Proportional to 31,912.75, 47,869.13 and 8,538.58

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Solution

The fourth proportional to 31,912.75, 47,869.13 and 8,538.58 is: 12,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.75 : 47,869.13 = 8,538.58 : x
  2. Step 2: Convert to fraction form
    31,912.75/47,869.13 = 8,538.58/x
  3. Step 3: Cross multiply
    31,912.75x = 47,869.13 × 8,538.58
  4. Step 4: Simplify right side
    31,912.75x = 408,734,396.04
  5. Step 5: Solve for x
    x = 408,734,396.04/31,912.75
  6. Step 6: Final answer
    x = 12,807.87

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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.