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Finding the Fourth Proportional to 13,480.22, 20,224 and 7,640.94

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Solution

The fourth proportional to 13,480.22, 20,224 and 7,640.94 is: 11,463.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.22 : 20,224 = 7,640.94 : x
  2. Step 2: Convert to fraction form
    13,480.22/20,224 = 7,640.94/x
  3. Step 3: Cross multiply
    13,480.22x = 20,224 × 7,640.94
  4. Step 4: Simplify right side
    13,480.22x = 154,530,370.56
  5. Step 5: Solve for x
    x = 154,530,370.56/13,480.22
  6. Step 6: Final answer
    x = 11,463.49

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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.