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Finding the Fourth Proportional to 2,811.83, 3,879.84 and 1,804.43

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Solution

The fourth proportional to 2,811.83, 3,879.84 and 1,804.43 is: 2,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.83 : 3,879.84 = 1,804.43 : x
  2. Step 2: Convert to fraction form
    2,811.83/3,879.84 = 1,804.43/x
  3. Step 3: Cross multiply
    2,811.83x = 3,879.84 × 1,804.43
  4. Step 4: Simplify right side
    2,811.83x = 7,000,880.29
  5. Step 5: Solve for x
    x = 7,000,880.29/2,811.83
  6. Step 6: Final answer
    x = 2,489.80

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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.