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Finding the Fourth Proportional to 13,201.98, 19,804 and 3,842.12

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Solution

The fourth proportional to 13,201.98, 19,804 and 3,842.12 is: 5,763.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.98 : 19,804 = 3,842.12 : x
  2. Step 2: Convert to fraction form
    13,201.98/19,804 = 3,842.12/x
  3. Step 3: Cross multiply
    13,201.98x = 19,804 × 3,842.12
  4. Step 4: Simplify right side
    13,201.98x = 76,089,344.48
  5. Step 5: Solve for x
    x = 76,089,344.48/13,201.98
  6. Step 6: Final answer
    x = 5,763.48

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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.