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Finding the Fourth Proportional to 13,782, 19,019.16 and 8,193

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Solution

The fourth proportional to 13,782, 19,019.16 and 8,193 is: 11,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782 : 19,019.16 = 8,193 : x
  2. Step 2: Convert to fraction form
    13,782/19,019.16 = 8,193/x
  3. Step 3: Cross multiply
    13,782x = 19,019.16 × 8,193
  4. Step 4: Simplify right side
    13,782x = 155,823,977.88
  5. Step 5: Solve for x
    x = 155,823,977.88/13,782
  6. Step 6: Final answer
    x = 11,306.34

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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.