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Finding the Fourth Proportional to 11,843.30, 17,761.70 and 4,447.20

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Solution

The fourth proportional to 11,843.30, 17,761.70 and 4,447.20 is: 6,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.30 : 17,761.70 = 4,447.20 : x
  2. Step 2: Convert to fraction form
    11,843.30/17,761.70 = 4,447.20/x
  3. Step 3: Cross multiply
    11,843.30x = 17,761.70 × 4,447.20
  4. Step 4: Simplify right side
    11,843.30x = 78,989,832.24
  5. Step 5: Solve for x
    x = 78,989,832.24/11,843.30
  6. Step 6: Final answer
    x = 6,669.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.