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Finding the Fourth Proportional to 31,169, 43,014.18 and 17,921

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Solution

The fourth proportional to 31,169, 43,014.18 and 17,921 is: 24,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,169 : 43,014.18 = 17,921 : x
  2. Step 2: Convert to fraction form
    31,169/43,014.18 = 17,921/x
  3. Step 3: Cross multiply
    31,169x = 43,014.18 × 17,921
  4. Step 4: Simplify right side
    31,169x = 770,857,119.78
  5. Step 5: Solve for x
    x = 770,857,119.78/31,169
  6. Step 6: Final answer
    x = 24,731.53

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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.