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Finding the Fourth Proportional to 31,819, 43,909 and 17,672.74

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Solution

The fourth proportional to 31,819, 43,909 and 17,672.74 is: 24,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,819 : 43,909 = 17,672.74 : x
  2. Step 2: Convert to fraction form
    31,819/43,909 = 17,672.74/x
  3. Step 3: Cross multiply
    31,819x = 43,909 × 17,672.74
  4. Step 4: Simplify right side
    31,819x = 775,992,340.66
  5. Step 5: Solve for x
    x = 775,992,340.66/31,819
  6. Step 6: Final answer
    x = 24,387.70

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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.