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Finding the Fourth Proportional to 31,584.92, 47,377.42 and 8,211.38

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Solution

The fourth proportional to 31,584.92, 47,377.42 and 8,211.38 is: 12,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,584.92 : 47,377.42 = 8,211.38 : x
  2. Step 2: Convert to fraction form
    31,584.92/47,377.42 = 8,211.38/x
  3. Step 3: Cross multiply
    31,584.92x = 47,377.42 × 8,211.38
  4. Step 4: Simplify right side
    31,584.92x = 389,033,741.62
  5. Step 5: Solve for x
    x = 389,033,741.62/31,584.92
  6. Step 6: Final answer
    x = 12,317.07

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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.