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Finding the Fourth Proportional to 3,871.75, 5,804.64 and 1,922.44

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Solution

The fourth proportional to 3,871.75, 5,804.64 and 1,922.44 is: 2,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.75 : 5,804.64 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    3,871.75/5,804.64 = 1,922.44/x
  3. Step 3: Cross multiply
    3,871.75x = 5,804.64 × 1,922.44
  4. Step 4: Simplify right side
    3,871.75x = 11,159,043.10
  5. Step 5: Solve for x
    x = 11,159,043.10/3,871.75
  6. Step 6: Final answer
    x = 2,882.17

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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.