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Finding the Fourth Proportional to 11,871.44, 17,806.76 and 5,634.44

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Solution

The fourth proportional to 11,871.44, 17,806.76 and 5,634.44 is: 8,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,871.44 : 17,806.76 = 5,634.44 : x
  2. Step 2: Convert to fraction form
    11,871.44/17,806.76 = 5,634.44/x
  3. Step 3: Cross multiply
    11,871.44x = 17,806.76 × 5,634.44
  4. Step 4: Simplify right side
    11,871.44x = 100,331,120.81
  5. Step 5: Solve for x
    x = 100,331,120.81/11,871.44
  6. Step 6: Final answer
    x = 8,451.47

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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.