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Finding the Fourth Proportional to 2,843.56, 4,258.22 and 1,800.42

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Solution

The fourth proportional to 2,843.56, 4,258.22 and 1,800.42 is: 2,696.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.56 : 4,258.22 = 1,800.42 : x
  2. Step 2: Convert to fraction form
    2,843.56/4,258.22 = 1,800.42/x
  3. Step 3: Cross multiply
    2,843.56x = 4,258.22 × 1,800.42
  4. Step 4: Simplify right side
    2,843.56x = 7,666,554.16
  5. Step 5: Solve for x
    x = 7,666,554.16/2,843.56
  6. Step 6: Final answer
    x = 2,696.11

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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.