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Finding the Fourth Proportional to 13,896.49, 19,179.02 and 8,230.80

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Solution

The fourth proportional to 13,896.49, 19,179.02 and 8,230.80 is: 11,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896.49 : 19,179.02 = 8,230.80 : x
  2. Step 2: Convert to fraction form
    13,896.49/19,179.02 = 8,230.80/x
  3. Step 3: Cross multiply
    13,896.49x = 19,179.02 × 8,230.80
  4. Step 4: Simplify right side
    13,896.49x = 157,858,540.77
  5. Step 5: Solve for x
    x = 157,858,540.77/13,896.49
  6. Step 6: Final answer
    x = 11,359.60

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1.5x scale

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.