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Finding the Fourth Proportional to 6,625.75, 9,144.75 and 3,831.25

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Solution

The fourth proportional to 6,625.75, 9,144.75 and 3,831.25 is: 5,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.75 : 9,144.75 = 3,831.25 : x
  2. Step 2: Convert to fraction form
    6,625.75/9,144.75 = 3,831.25/x
  3. Step 3: Cross multiply
    6,625.75x = 9,144.75 × 3,831.25
  4. Step 4: Simplify right side
    6,625.75x = 35,035,823.44
  5. Step 5: Solve for x
    x = 35,035,823.44/6,625.75
  6. Step 6: Final answer
    x = 5,287.83

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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.