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Finding the Fourth Proportional to 31,951.91, 47,909.91 and 21,968.39

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Solution

The fourth proportional to 31,951.91, 47,909.91 and 21,968.39 is: 32,940.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.91 : 47,909.91 = 21,968.39 : x
  2. Step 2: Convert to fraction form
    31,951.91/47,909.91 = 21,968.39/x
  3. Step 3: Cross multiply
    31,951.91x = 47,909.91 × 21,968.39
  4. Step 4: Simplify right side
    31,951.91x = 1,052,503,587.74
  5. Step 5: Solve for x
    x = 1,052,503,587.74/31,951.91
  6. Step 6: Final answer
    x = 32,940.24

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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.