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Finding the Fourth Proportional to 3,887.43, 5,831.20 and 965.73

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Solution

The fourth proportional to 3,887.43, 5,831.20 and 965.73 is: 1,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.43 : 5,831.20 = 965.73 : x
  2. Step 2: Convert to fraction form
    3,887.43/5,831.20 = 965.73/x
  3. Step 3: Cross multiply
    3,887.43x = 5,831.20 × 965.73
  4. Step 4: Simplify right side
    3,887.43x = 5,631,364.78
  5. Step 5: Solve for x
    x = 5,631,364.78/3,887.43
  6. Step 6: Final answer
    x = 1,448.61

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Similar ratio
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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.