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Finding the Fourth Proportional to 13,862.26, 19,131.87 and 8,824.87

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Solution

The fourth proportional to 13,862.26, 19,131.87 and 8,824.87 is: 12,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.26 : 19,131.87 = 8,824.87 : x
  2. Step 2: Convert to fraction form
    13,862.26/19,131.87 = 8,824.87/x
  3. Step 3: Cross multiply
    13,862.26x = 19,131.87 × 8,824.87
  4. Step 4: Simplify right side
    13,862.26x = 168,836,265.61
  5. Step 5: Solve for x
    x = 168,836,265.61/13,862.26
  6. Step 6: Final answer
    x = 12,179.56

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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.