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Finding the Fourth Proportional to 11,223, 15,489.24 and 7,255.68

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Solution

The fourth proportional to 11,223, 15,489.24 and 7,255.68 is: 10,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223 : 15,489.24 = 7,255.68 : x
  2. Step 2: Convert to fraction form
    11,223/15,489.24 = 7,255.68/x
  3. Step 3: Cross multiply
    11,223x = 15,489.24 × 7,255.68
  4. Step 4: Simplify right side
    11,223x = 112,384,968.88
  5. Step 5: Solve for x
    x = 112,384,968.88/11,223
  6. Step 6: Final answer
    x = 10,013.81

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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.