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Finding the Fourth Proportional to 5,831.22, 8,046.84 and 3,178.56

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Solution

The fourth proportional to 5,831.22, 8,046.84 and 3,178.56 is: 4,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.22 : 8,046.84 = 3,178.56 : x
  2. Step 2: Convert to fraction form
    5,831.22/8,046.84 = 3,178.56/x
  3. Step 3: Cross multiply
    5,831.22x = 8,046.84 × 3,178.56
  4. Step 4: Simplify right side
    5,831.22x = 25,577,363.75
  5. Step 5: Solve for x
    x = 25,577,363.75/5,831.22
  6. Step 6: Final answer
    x = 4,386.28

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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.