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Finding the Fourth Proportional to 31,876, 43,988.88 and 18,628

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Solution

The fourth proportional to 31,876, 43,988.88 and 18,628 is: 25,706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,876 : 43,988.88 = 18,628 : x
  2. Step 2: Convert to fraction form
    31,876/43,988.88 = 18,628/x
  3. Step 3: Cross multiply
    31,876x = 43,988.88 × 18,628
  4. Step 4: Simplify right side
    31,876x = 819,424,856.64
  5. Step 5: Solve for x
    x = 819,424,856.64/31,876
  6. Step 6: Final answer
    x = 25,706.64

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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.