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Finding the Fourth Proportional to 11,224, 15,489.60 and 6,256

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Solution

The fourth proportional to 11,224, 15,489.60 and 6,256 is: 8,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224 : 15,489.60 = 6,256 : x
  2. Step 2: Convert to fraction form
    11,224/15,489.60 = 6,256/x
  3. Step 3: Cross multiply
    11,224x = 15,489.60 × 6,256
  4. Step 4: Simplify right side
    11,224x = 96,902,937.60
  5. Step 5: Solve for x
    x = 96,902,937.60/11,224
  6. Step 6: Final answer
    x = 8,633.55

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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.