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Finding the Fourth Proportional to 1,999.29, 2,759.36 and 1,213.86

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Solution

The fourth proportional to 1,999.29, 2,759.36 and 1,213.86 is: 1,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.29 : 2,759.36 = 1,213.86 : x
  2. Step 2: Convert to fraction form
    1,999.29/2,759.36 = 1,213.86/x
  3. Step 3: Cross multiply
    1,999.29x = 2,759.36 × 1,213.86
  4. Step 4: Simplify right side
    1,999.29x = 3,349,470.66
  5. Step 5: Solve for x
    x = 3,349,470.66/1,999.29
  6. Step 6: Final answer
    x = 1,675.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.