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Finding the Fourth Proportional to 1,999.23, 3,001.01 and 845.79

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Solution

The fourth proportional to 1,999.23, 3,001.01 and 845.79 is: 1,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.23 : 3,001.01 = 845.79 : x
  2. Step 2: Convert to fraction form
    1,999.23/3,001.01 = 845.79/x
  3. Step 3: Cross multiply
    1,999.23x = 3,001.01 × 845.79
  4. Step 4: Simplify right side
    1,999.23x = 2,538,220.02
  5. Step 5: Solve for x
    x = 2,538,220.02/1,999.23
  6. Step 6: Final answer
    x = 1,269.60

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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.