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Finding the Fourth Proportional to 8,682.26, 13,040.69 and 8,192.67

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Solution

The fourth proportional to 8,682.26, 13,040.69 and 8,192.67 is: 12,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.26 : 13,040.69 = 8,192.67 : x
  2. Step 2: Convert to fraction form
    8,682.26/13,040.69 = 8,192.67/x
  3. Step 3: Cross multiply
    8,682.26x = 13,040.69 × 8,192.67
  4. Step 4: Simplify right side
    8,682.26x = 106,838,025.96
  5. Step 5: Solve for x
    x = 106,838,025.96/8,682.26
  6. Step 6: Final answer
    x = 12,305.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.