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Finding the Fourth Proportional to 6,815.61, 9,405.41 and 3,831.41

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Solution

The fourth proportional to 6,815.61, 9,405.41 and 3,831.41 is: 5,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.61 : 9,405.41 = 3,831.41 : x
  2. Step 2: Convert to fraction form
    6,815.61/9,405.41 = 3,831.41/x
  3. Step 3: Cross multiply
    6,815.61x = 9,405.41 × 3,831.41
  4. Step 4: Simplify right side
    6,815.61x = 36,035,986.28
  5. Step 5: Solve for x
    x = 36,035,986.28/6,815.61
  6. Step 6: Final answer
    x = 5,287.27

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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.