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Finding the Fourth Proportional to 13,843.44, 19,103.34 and 7,874.40

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Solution

The fourth proportional to 13,843.44, 19,103.34 and 7,874.40 is: 10,866.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.44 : 19,103.34 = 7,874.40 : x
  2. Step 2: Convert to fraction form
    13,843.44/19,103.34 = 7,874.40/x
  3. Step 3: Cross multiply
    13,843.44x = 19,103.34 × 7,874.40
  4. Step 4: Simplify right side
    13,843.44x = 150,427,340.50
  5. Step 5: Solve for x
    x = 150,427,340.50/13,843.44
  6. Step 6: Final answer
    x = 10,866.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.