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Finding the Fourth Proportional to 13,205.51, 19,806.22 and 3,843.62

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Solution

The fourth proportional to 13,205.51, 19,806.22 and 3,843.62 is: 5,764.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.51 : 19,806.22 = 3,843.62 : x
  2. Step 2: Convert to fraction form
    13,205.51/19,806.22 = 3,843.62/x
  3. Step 3: Cross multiply
    13,205.51x = 19,806.22 × 3,843.62
  4. Step 4: Simplify right side
    13,205.51x = 76,127,563.36
  5. Step 5: Solve for x
    x = 76,127,563.36/13,205.51
  6. Step 6: Final answer
    x = 5,764.83

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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.