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Finding the Fourth Proportional to 13,793.22, 19,028.79 and 8,204.22

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Solution

The fourth proportional to 13,793.22, 19,028.79 and 8,204.22 is: 11,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.22 : 19,028.79 = 8,204.22 : x
  2. Step 2: Convert to fraction form
    13,793.22/19,028.79 = 8,204.22/x
  3. Step 3: Cross multiply
    13,793.22x = 19,028.79 × 8,204.22
  4. Step 4: Simplify right side
    13,793.22x = 156,116,379.49
  5. Step 5: Solve for x
    x = 156,116,379.49/13,793.22
  6. Step 6: Final answer
    x = 11,318.34

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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.