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Finding the Fourth Proportional to 2,811.85, 3,879.74 and 1,632.29

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Solution

The fourth proportional to 2,811.85, 3,879.74 and 1,632.29 is: 2,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.85 : 3,879.74 = 1,632.29 : x
  2. Step 2: Convert to fraction form
    2,811.85/3,879.74 = 1,632.29/x
  3. Step 3: Cross multiply
    2,811.85x = 3,879.74 × 1,632.29
  4. Step 4: Simplify right side
    2,811.85x = 6,332,845.49
  5. Step 5: Solve for x
    x = 6,332,845.49/2,811.85
  6. Step 6: Final answer
    x = 2,252.20

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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.