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Finding the Fourth Proportional to 6,831.72, 9,427.80 and 3,847.68

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Solution

The fourth proportional to 6,831.72, 9,427.80 and 3,847.68 is: 5,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,831.72 : 9,427.80 = 3,847.68 : x
  2. Step 2: Convert to fraction form
    6,831.72/9,427.80 = 3,847.68/x
  3. Step 3: Cross multiply
    6,831.72x = 9,427.80 × 3,847.68
  4. Step 4: Simplify right side
    6,831.72x = 36,275,157.50
  5. Step 5: Solve for x
    x = 36,275,157.50/6,831.72
  6. Step 6: Final answer
    x = 5,309.81

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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.