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Finding the Fourth Proportional to 31,334, 43,244.76 and 18,086

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Solution

The fourth proportional to 31,334, 43,244.76 and 18,086 is: 24,960.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334 : 43,244.76 = 18,086 : x
  2. Step 2: Convert to fraction form
    31,334/43,244.76 = 18,086/x
  3. Step 3: Cross multiply
    31,334x = 43,244.76 × 18,086
  4. Step 4: Simplify right side
    31,334x = 782,124,729.36
  5. Step 5: Solve for x
    x = 782,124,729.36/31,334
  6. Step 6: Final answer
    x = 24,960.90

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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.