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Finding the Fourth Proportional to 13,849.97, 20,751.32 and 7,615.20

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Solution

The fourth proportional to 13,849.97, 20,751.32 and 7,615.20 is: 11,409.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.97 : 20,751.32 = 7,615.20 : x
  2. Step 2: Convert to fraction form
    13,849.97/20,751.32 = 7,615.20/x
  3. Step 3: Cross multiply
    13,849.97x = 20,751.32 × 7,615.20
  4. Step 4: Simplify right side
    13,849.97x = 158,025,413.99
  5. Step 5: Solve for x
    x = 158,025,413.99/13,849.97
  6. Step 6: Final answer
    x = 11,409.81

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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.