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Finding the Fourth Proportional to 25,831.47, 35,648.61 and 20,232.75

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Solution

The fourth proportional to 25,831.47, 35,648.61 and 20,232.75 is: 27,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,831.47 : 35,648.61 = 20,232.75 : x
  2. Step 2: Convert to fraction form
    25,831.47/35,648.61 = 20,232.75/x
  3. Step 3: Cross multiply
    25,831.47x = 35,648.61 × 20,232.75
  4. Step 4: Simplify right side
    25,831.47x = 721,269,413.98
  5. Step 5: Solve for x
    x = 721,269,413.98/25,831.47
  6. Step 6: Final answer
    x = 27,922.12

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