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Finding the Fourth Proportional to 17,921.64, 26,896.44 and 12,413.64

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Solution

The fourth proportional to 17,921.64, 26,896.44 and 12,413.64 is: 18,630.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,921.64 : 26,896.44 = 12,413.64 : x
  2. Step 2: Convert to fraction form
    17,921.64/26,896.44 = 12,413.64/x
  3. Step 3: Cross multiply
    17,921.64x = 26,896.44 × 12,413.64
  4. Step 4: Simplify right side
    17,921.64x = 333,882,723.44
  5. Step 5: Solve for x
    x = 333,882,723.44/17,921.64
  6. Step 6: Final answer
    x = 18,630.14

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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.