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Finding the Fourth Proportional to 20,796.88, 28,698.05 and 11,842.60

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Solution

The fourth proportional to 20,796.88, 28,698.05 and 11,842.60 is: 16,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,796.88 : 28,698.05 = 11,842.60 : x
  2. Step 2: Convert to fraction form
    20,796.88/28,698.05 = 11,842.60/x
  3. Step 3: Cross multiply
    20,796.88x = 28,698.05 × 11,842.60
  4. Step 4: Simplify right side
    20,796.88x = 339,859,413.05
  5. Step 5: Solve for x
    x = 339,859,413.05/20,796.88
  6. Step 6: Final answer
    x = 16,341.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.