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Finding the Fourth Proportional to 11,871.36, 17,800.90 and 6,942.44

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Solution

The fourth proportional to 11,871.36, 17,800.90 and 6,942.44 is: 10,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.36 : 17,800.90 = 6,942.44 : x
  2. Step 2: Convert to fraction form
    11,871.36/17,800.90 = 6,942.44/x
  3. Step 3: Cross multiply
    11,871.36x = 17,800.90 × 6,942.44
  4. Step 4: Simplify right side
    11,871.36x = 123,581,680.20
  5. Step 5: Solve for x
    x = 123,581,680.20/11,871.36
  6. Step 6: Final answer
    x = 10,410.07

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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.