Home / 2,028.54-3,043.42-857.94

Finding the Fourth Proportional to 2,028.54, 3,043.42 and 857.94

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Solution

The fourth proportional to 2,028.54, 3,043.42 and 857.94 is: 1,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.54 : 3,043.42 = 857.94 : x
  2. Step 2: Convert to fraction form
    2,028.54/3,043.42 = 857.94/x
  3. Step 3: Cross multiply
    2,028.54x = 3,043.42 × 857.94
  4. Step 4: Simplify right side
    2,028.54x = 2,611,052.25
  5. Step 5: Solve for x
    x = 2,611,052.25/2,028.54
  6. Step 6: Final answer
    x = 1,287.16

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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.