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Finding the Fourth Proportional to 13,909, 19,194.44 and 8,320

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Solution

The fourth proportional to 13,909, 19,194.44 and 8,320 is: 11,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909 : 19,194.44 = 8,320 : x
  2. Step 2: Convert to fraction form
    13,909/19,194.44 = 8,320/x
  3. Step 3: Cross multiply
    13,909x = 19,194.44 × 8,320
  4. Step 4: Simplify right side
    13,909x = 159,697,740.80
  5. Step 5: Solve for x
    x = 159,697,740.80/13,909
  6. Step 6: Final answer
    x = 11,481.61

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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.