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Finding the Fourth Proportional to 12,224, 16,861.44 and 9,745.92

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Solution

The fourth proportional to 12,224, 16,861.44 and 9,745.92 is: 13,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,224 : 16,861.44 = 9,745.92 : x
  2. Step 2: Convert to fraction form
    12,224/16,861.44 = 9,745.92/x
  3. Step 3: Cross multiply
    12,224x = 16,861.44 × 9,745.92
  4. Step 4: Simplify right side
    12,224x = 164,330,245.32
  5. Step 5: Solve for x
    x = 164,330,245.32/12,224
  6. Step 6: Final answer
    x = 13,443.25

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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.