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Finding the Fourth Proportional to 11,222.36, 15,481.16 and 8,565.16

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Solution

The fourth proportional to 11,222.36, 15,481.16 and 8,565.16 is: 11,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.36 : 15,481.16 = 8,565.16 : x
  2. Step 2: Convert to fraction form
    11,222.36/15,481.16 = 8,565.16/x
  3. Step 3: Cross multiply
    11,222.36x = 15,481.16 × 8,565.16
  4. Step 4: Simplify right side
    11,222.36x = 132,598,612.39
  5. Step 5: Solve for x
    x = 132,598,612.39/11,222.36
  6. Step 6: Final answer
    x = 11,815.57

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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.