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Finding the Fourth Proportional to 6,815.68, 9,406.48 and 3,831.64

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Solution

The fourth proportional to 6,815.68, 9,406.48 and 3,831.64 is: 5,288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.68 : 9,406.48 = 3,831.64 : x
  2. Step 2: Convert to fraction form
    6,815.68/9,406.48 = 3,831.64/x
  3. Step 3: Cross multiply
    6,815.68x = 9,406.48 × 3,831.64
  4. Step 4: Simplify right side
    6,815.68x = 36,042,245.03
  5. Step 5: Solve for x
    x = 36,042,245.03/6,815.68
  6. Step 6: Final answer
    x = 5,288.14

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1.5x scale

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.