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Finding the Fourth Proportional to 31,951.94, 47,927.91 and 8,578.38

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Solution

The fourth proportional to 31,951.94, 47,927.91 and 8,578.38 is: 12,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.94 : 47,927.91 = 8,578.38 : x
  2. Step 2: Convert to fraction form
    31,951.94/47,927.91 = 8,578.38/x
  3. Step 3: Cross multiply
    31,951.94x = 47,927.91 × 8,578.38
  4. Step 4: Simplify right side
    31,951.94x = 411,143,824.59
  5. Step 5: Solve for x
    x = 411,143,824.59/31,951.94
  6. Step 6: Final answer
    x = 12,867.57

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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.