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Finding the Fourth Proportional to 31,672.86, 43,713.16 and 18,241.50

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Solution

The fourth proportional to 31,672.86, 43,713.16 and 18,241.50 is: 25,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.86 : 43,713.16 = 18,241.50 : x
  2. Step 2: Convert to fraction form
    31,672.86/43,713.16 = 18,241.50/x
  3. Step 3: Cross multiply
    31,672.86x = 43,713.16 × 18,241.50
  4. Step 4: Simplify right side
    31,672.86x = 797,393,608.14
  5. Step 5: Solve for x
    x = 797,393,608.14/31,672.86
  6. Step 6: Final answer
    x = 25,175.93

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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.