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Finding the Fourth Proportional to 1,999.11, 2,755.89 and 1,407.81

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Solution

The fourth proportional to 1,999.11, 2,755.89 and 1,407.81 is: 1,940.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.11 : 2,755.89 = 1,407.81 : x
  2. Step 2: Convert to fraction form
    1,999.11/2,755.89 = 1,407.81/x
  3. Step 3: Cross multiply
    1,999.11x = 2,755.89 × 1,407.81
  4. Step 4: Simplify right side
    1,999.11x = 3,879,769.50
  5. Step 5: Solve for x
    x = 3,879,769.50/1,999.11
  6. Step 6: Final answer
    x = 1,940.75

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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.