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Finding the Fourth Proportional to 12,842.75, 19,265.22 and 3,608.75

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Solution

The fourth proportional to 12,842.75, 19,265.22 and 3,608.75 is: 5,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.75 : 19,265.22 = 3,608.75 : x
  2. Step 2: Convert to fraction form
    12,842.75/19,265.22 = 3,608.75/x
  3. Step 3: Cross multiply
    12,842.75x = 19,265.22 × 3,608.75
  4. Step 4: Simplify right side
    12,842.75x = 69,523,362.68
  5. Step 5: Solve for x
    x = 69,523,362.68/12,842.75
  6. Step 6: Final answer
    x = 5,413.43

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1.5x scale

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.