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Finding the Fourth Proportional to 11,896.64, 17,825.16 and 7,731.44

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Solution

The fourth proportional to 11,896.64, 17,825.16 and 7,731.44 is: 11,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.64 : 17,825.16 = 7,731.44 : x
  2. Step 2: Convert to fraction form
    11,896.64/17,825.16 = 7,731.44/x
  3. Step 3: Cross multiply
    11,896.64x = 17,825.16 × 7,731.44
  4. Step 4: Simplify right side
    11,896.64x = 137,814,155.03
  5. Step 5: Solve for x
    x = 137,814,155.03/11,896.64
  6. Step 6: Final answer
    x = 11,584.29

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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.