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Finding the Fourth Proportional to 6,611.28, 9,907 and 3,831.44

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Solution

The fourth proportional to 6,611.28, 9,907 and 3,831.44 is: 5,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,611.28 : 9,907 = 3,831.44 : x
  2. Step 2: Convert to fraction form
    6,611.28/9,907 = 3,831.44/x
  3. Step 3: Cross multiply
    6,611.28x = 9,907 × 3,831.44
  4. Step 4: Simplify right side
    6,611.28x = 37,958,076.08
  5. Step 5: Solve for x
    x = 37,958,076.08/6,611.28
  6. Step 6: Final answer
    x = 5,741.41

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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.