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Finding the Fourth Proportional to 31,382, 43,311 and 18,134

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Solution

The fourth proportional to 31,382, 43,311 and 18,134 is: 25,027.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382 : 43,311 = 18,134 : x
  2. Step 2: Convert to fraction form
    31,382/43,311 = 18,134/x
  3. Step 3: Cross multiply
    31,382x = 43,311 × 18,134
  4. Step 4: Simplify right side
    31,382x = 785,401,674
  5. Step 5: Solve for x
    x = 785,401,674/31,382
  6. Step 6: Final answer
    x = 25,027.14

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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.