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Finding the Fourth Proportional to 11,968.64, 17,952.31 and 3,647.96

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Solution

The fourth proportional to 11,968.64, 17,952.31 and 3,647.96 is: 5,471.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,968.64 : 17,952.31 = 3,647.96 : x
  2. Step 2: Convert to fraction form
    11,968.64/17,952.31 = 3,647.96/x
  3. Step 3: Cross multiply
    11,968.64x = 17,952.31 × 3,647.96
  4. Step 4: Simplify right side
    11,968.64x = 65,489,331.14
  5. Step 5: Solve for x
    x = 65,489,331.14/11,968.64
  6. Step 6: Final answer
    x = 5,471.74

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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.