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Finding the Fourth Proportional to 31,381, 43,309.62 and 18,133

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Solution

The fourth proportional to 31,381, 43,309.62 and 18,133 is: 25,025.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381 : 43,309.62 = 18,133 : x
  2. Step 2: Convert to fraction form
    31,381/43,309.62 = 18,133/x
  3. Step 3: Cross multiply
    31,381x = 43,309.62 × 18,133
  4. Step 4: Simplify right side
    31,381x = 785,333,339.46
  5. Step 5: Solve for x
    x = 785,333,339.46/31,381
  6. Step 6: Final answer
    x = 25,025.76

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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.