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Finding the Fourth Proportional to 8,831.25, 13,249.16 and 3,284.78

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Solution

The fourth proportional to 8,831.25, 13,249.16 and 3,284.78 is: 4,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.25 : 13,249.16 = 3,284.78 : x
  2. Step 2: Convert to fraction form
    8,831.25/13,249.16 = 3,284.78/x
  3. Step 3: Cross multiply
    8,831.25x = 13,249.16 × 3,284.78
  4. Step 4: Simplify right side
    8,831.25x = 43,520,493.12
  5. Step 5: Solve for x
    x = 43,520,493.12/8,831.25
  6. Step 6: Final answer
    x = 4,928.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.