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Finding the Fourth Proportional to 13,894.54, 19,174.52 and 8,229.20

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Solution

The fourth proportional to 13,894.54, 19,174.52 and 8,229.20 is: 11,356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.54 : 19,174.52 = 8,229.20 : x
  2. Step 2: Convert to fraction form
    13,894.54/19,174.52 = 8,229.20/x
  3. Step 3: Cross multiply
    13,894.54x = 19,174.52 × 8,229.20
  4. Step 4: Simplify right side
    13,894.54x = 157,790,884.68
  5. Step 5: Solve for x
    x = 157,790,884.68/13,894.54
  6. Step 6: Final answer
    x = 11,356.33

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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.