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Finding the Fourth Proportional to 8,515.44, 12,768.69 and 3,831.39

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Solution

The fourth proportional to 8,515.44, 12,768.69 and 3,831.39 is: 5,745.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.44 : 12,768.69 = 3,831.39 : x
  2. Step 2: Convert to fraction form
    8,515.44/12,768.69 = 3,831.39/x
  3. Step 3: Cross multiply
    8,515.44x = 12,768.69 × 3,831.39
  4. Step 4: Simplify right side
    8,515.44x = 48,921,831.18
  5. Step 5: Solve for x
    x = 48,921,831.18/8,515.44
  6. Step 6: Final answer
    x = 5,745.07

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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.