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Finding the Fourth Proportional to 33,632, 46,413.60 and 18,728

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Solution

The fourth proportional to 33,632, 46,413.60 and 18,728 is: 25,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632 : 46,413.60 = 18,728 : x
  2. Step 2: Convert to fraction form
    33,632/46,413.60 = 18,728/x
  3. Step 3: Cross multiply
    33,632x = 46,413.60 × 18,728
  4. Step 4: Simplify right side
    33,632x = 869,233,900.80
  5. Step 5: Solve for x
    x = 869,233,900.80/33,632
  6. Step 6: Final answer
    x = 25,845.44

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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.