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Finding the Fourth Proportional to 1,999.62, 3,001.56 and 1,769.97

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Solution

The fourth proportional to 1,999.62, 3,001.56 and 1,769.97 is: 2,656.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.62 : 3,001.56 = 1,769.97 : x
  2. Step 2: Convert to fraction form
    1,999.62/3,001.56 = 1,769.97/x
  3. Step 3: Cross multiply
    1,999.62x = 3,001.56 × 1,769.97
  4. Step 4: Simplify right side
    1,999.62x = 5,312,671.15
  5. Step 5: Solve for x
    x = 5,312,671.15/1,999.62
  6. Step 6: Final answer
    x = 2,656.84

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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.