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Finding the Fourth Proportional to 31,912.98, 47,869.44 and 8,538.81

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Solution

The fourth proportional to 31,912.98, 47,869.44 and 8,538.81 is: 12,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.98 : 47,869.44 = 8,538.81 : x
  2. Step 2: Convert to fraction form
    31,912.98/47,869.44 = 8,538.81/x
  3. Step 3: Cross multiply
    31,912.98x = 47,869.44 × 8,538.81
  4. Step 4: Simplify right side
    31,912.98x = 408,748,052.97
  5. Step 5: Solve for x
    x = 408,748,052.97/31,912.98
  6. Step 6: Final answer
    x = 12,808.21

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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.