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Finding the Fourth Proportional to 8,192.61, 12,299.28 and 6,822.69

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Solution

The fourth proportional to 8,192.61, 12,299.28 and 6,822.69 is: 10,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.61 : 12,299.28 = 6,822.69 : x
  2. Step 2: Convert to fraction form
    8,192.61/12,299.28 = 6,822.69/x
  3. Step 3: Cross multiply
    8,192.61x = 12,299.28 × 6,822.69
  4. Step 4: Simplify right side
    8,192.61x = 83,914,174.66
  5. Step 5: Solve for x
    x = 83,914,174.66/8,192.61
  6. Step 6: Final answer
    x = 10,242.67

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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.