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Finding the Fourth Proportional to 13,529, 18,670.02 and 8,222.82

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Solution

The fourth proportional to 13,529, 18,670.02 and 8,222.82 is: 11,347.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,529 : 18,670.02 = 8,222.82 : x
  2. Step 2: Convert to fraction form
    13,529/18,670.02 = 8,222.82/x
  3. Step 3: Cross multiply
    13,529x = 18,670.02 × 8,222.82
  4. Step 4: Simplify right side
    13,529x = 153,520,213.86
  5. Step 5: Solve for x
    x = 153,520,213.86/13,529
  6. Step 6: Final answer
    x = 11,347.49

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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.