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Finding the Fourth Proportional to 5,831.77, 8,047.86 and 3,179.20

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Solution

The fourth proportional to 5,831.77, 8,047.86 and 3,179.20 is: 4,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.77 : 8,047.86 = 3,179.20 : x
  2. Step 2: Convert to fraction form
    5,831.77/8,047.86 = 3,179.20/x
  3. Step 3: Cross multiply
    5,831.77x = 8,047.86 × 3,179.20
  4. Step 4: Simplify right side
    5,831.77x = 25,585,739.56
  5. Step 5: Solve for x
    x = 25,585,739.56/5,831.77
  6. Step 6: Final answer
    x = 4,387.30

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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.