Home / 3,923-5,413.47-2,154.24

Finding the Fourth Proportional to 3,923, 5,413.47 and 2,154.24

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Solution

The fourth proportional to 3,923, 5,413.47 and 2,154.24 is: 2,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923 : 5,413.47 = 2,154.24 : x
  2. Step 2: Convert to fraction form
    3,923/5,413.47 = 2,154.24/x
  3. Step 3: Cross multiply
    3,923x = 5,413.47 × 2,154.24
  4. Step 4: Simplify right side
    3,923x = 11,661,913.61
  5. Step 5: Solve for x
    x = 11,661,913.61/3,923
  6. Step 6: Final answer
    x = 2,972.70

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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.