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Finding the Fourth Proportional to 2,808.93, 3,877.02 and 1,629.84

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Solution

The fourth proportional to 2,808.93, 3,877.02 and 1,629.84 is: 2,249.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.93 : 3,877.02 = 1,629.84 : x
  2. Step 2: Convert to fraction form
    2,808.93/3,877.02 = 1,629.84/x
  3. Step 3: Cross multiply
    2,808.93x = 3,877.02 × 1,629.84
  4. Step 4: Simplify right side
    2,808.93x = 6,318,922.28
  5. Step 5: Solve for x
    x = 6,318,922.28/2,808.93
  6. Step 6: Final answer
    x = 2,249.58

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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.