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Finding the Fourth Proportional to 11,321.02, 15,618.72 and 8,344

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Solution

The fourth proportional to 11,321.02, 15,618.72 and 8,344 is: 11,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,321.02 : 15,618.72 = 8,344 : x
  2. Step 2: Convert to fraction form
    11,321.02/15,618.72 = 8,344/x
  3. Step 3: Cross multiply
    11,321.02x = 15,618.72 × 8,344
  4. Step 4: Simplify right side
    11,321.02x = 130,322,599.68
  5. Step 5: Solve for x
    x = 130,322,599.68/11,321.02
  6. Step 6: Final answer
    x = 11,511.56

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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.