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Finding the Fourth Proportional to 1,998.23, 3,012.54 and 1,857.29

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Solution

The fourth proportional to 1,998.23, 3,012.54 and 1,857.29 is: 2,800.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.23 : 3,012.54 = 1,857.29 : x
  2. Step 2: Convert to fraction form
    1,998.23/3,012.54 = 1,857.29/x
  3. Step 3: Cross multiply
    1,998.23x = 3,012.54 × 1,857.29
  4. Step 4: Simplify right side
    1,998.23x = 5,595,145.35
  5. Step 5: Solve for x
    x = 5,595,145.35/1,998.23
  6. Step 6: Final answer
    x = 2,800.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.