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Finding the Fourth Proportional to 3,220.83, 4,831.26 and 880.78

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Solution

The fourth proportional to 3,220.83, 4,831.26 and 880.78 is: 1,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220.83 : 4,831.26 = 880.78 : x
  2. Step 2: Convert to fraction form
    3,220.83/4,831.26 = 880.78/x
  3. Step 3: Cross multiply
    3,220.83x = 4,831.26 × 880.78
  4. Step 4: Simplify right side
    3,220.83x = 4,255,279.68
  5. Step 5: Solve for x
    x = 4,255,279.68/3,220.83
  6. Step 6: Final answer
    x = 1,321.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.