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Finding the Fourth Proportional to 8,222, 11,346.36 and 4,496

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Solution

The fourth proportional to 8,222, 11,346.36 and 4,496 is: 6,204.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222 : 11,346.36 = 4,496 : x
  2. Step 2: Convert to fraction form
    8,222/11,346.36 = 4,496/x
  3. Step 3: Cross multiply
    8,222x = 11,346.36 × 4,496
  4. Step 4: Simplify right side
    8,222x = 51,013,234.56
  5. Step 5: Solve for x
    x = 51,013,234.56/8,222
  6. Step 6: Final answer
    x = 6,204.48

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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.