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Finding the Fourth Proportional to 19,796.56, 27,321.78 and 11,413.12

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Solution

The fourth proportional to 19,796.56, 27,321.78 and 11,413.12 is: 15,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.56 : 27,321.78 = 11,413.12 : x
  2. Step 2: Convert to fraction form
    19,796.56/27,321.78 = 11,413.12/x
  3. Step 3: Cross multiply
    19,796.56x = 27,321.78 × 11,413.12
  4. Step 4: Simplify right side
    19,796.56x = 311,826,753.75
  5. Step 5: Solve for x
    x = 311,826,753.75/19,796.56
  6. Step 6: Final answer
    x = 15,751.56

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1.5x scale

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.