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Finding the Fourth Proportional to 1,999.49, 3,001.89 and 1,708.85

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Solution

The fourth proportional to 1,999.49, 3,001.89 and 1,708.85 is: 2,565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.49 : 3,001.89 = 1,708.85 : x
  2. Step 2: Convert to fraction form
    1,999.49/3,001.89 = 1,708.85/x
  3. Step 3: Cross multiply
    1,999.49x = 3,001.89 × 1,708.85
  4. Step 4: Simplify right side
    1,999.49x = 5,129,764.72
  5. Step 5: Solve for x
    x = 5,129,764.72/1,999.49
  6. Step 6: Final answer
    x = 2,565.54

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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.