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Finding the Fourth Proportional to 1,999.29, 2,998.50 and 1,900.47

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Solution

The fourth proportional to 1,999.29, 2,998.50 and 1,900.47 is: 2,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.29 : 2,998.50 = 1,900.47 : x
  2. Step 2: Convert to fraction form
    1,999.29/2,998.50 = 1,900.47/x
  3. Step 3: Cross multiply
    1,999.29x = 2,998.50 × 1,900.47
  4. Step 4: Simplify right side
    1,999.29x = 5,698,559.30
  5. Step 5: Solve for x
    x = 5,698,559.30/1,999.29
  6. Step 6: Final answer
    x = 2,850.29

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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.