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Finding the Fourth Proportional to 3,831.75, 5,747.63 and 1,095.75

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Solution

The fourth proportional to 3,831.75, 5,747.63 and 1,095.75 is: 1,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.75 : 5,747.63 = 1,095.75 : x
  2. Step 2: Convert to fraction form
    3,831.75/5,747.63 = 1,095.75/x
  3. Step 3: Cross multiply
    3,831.75x = 5,747.63 × 1,095.75
  4. Step 4: Simplify right side
    3,831.75x = 6,297,960.09
  5. Step 5: Solve for x
    x = 6,297,960.09/3,831.75
  6. Step 6: Final answer
    x = 1,643.63

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1.5x scale

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.