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Finding the Fourth Proportional to 31,770, 43,843.68 and 20,611.44

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Solution

The fourth proportional to 31,770, 43,843.68 and 20,611.44 is: 28,444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770 : 43,843.68 = 20,611.44 : x
  2. Step 2: Convert to fraction form
    31,770/43,843.68 = 20,611.44/x
  3. Step 3: Cross multiply
    31,770x = 43,843.68 × 20,611.44
  4. Step 4: Simplify right side
    31,770x = 903,681,379.70
  5. Step 5: Solve for x
    x = 903,681,379.70/31,770
  6. Step 6: Final answer
    x = 28,444.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.