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Finding the Fourth Proportional to 2,797.83, 3,860.25 and 1,804.38

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Solution

The fourth proportional to 2,797.83, 3,860.25 and 1,804.38 is: 2,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.83 : 3,860.25 = 1,804.38 : x
  2. Step 2: Convert to fraction form
    2,797.83/3,860.25 = 1,804.38/x
  3. Step 3: Cross multiply
    2,797.83x = 3,860.25 × 1,804.38
  4. Step 4: Simplify right side
    2,797.83x = 6,965,357.90
  5. Step 5: Solve for x
    x = 6,965,357.90/2,797.83
  6. Step 6: Final answer
    x = 2,489.56

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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.