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Finding the Fourth Proportional to 31,960.71, 47,947.98 and 12,239.26

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Solution

The fourth proportional to 31,960.71, 47,947.98 and 12,239.26 is: 18,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,960.71 : 47,947.98 = 12,239.26 : x
  2. Step 2: Convert to fraction form
    31,960.71/47,947.98 = 12,239.26/x
  3. Step 3: Cross multiply
    31,960.71x = 47,947.98 × 12,239.26
  4. Step 4: Simplify right side
    31,960.71x = 586,847,732.50
  5. Step 5: Solve for x
    x = 586,847,732.50/31,960.71
  6. Step 6: Final answer
    x = 18,361.54

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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.