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Finding the Fourth Proportional to 1,999.08, 2,999.12 and 1,966

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Solution

The fourth proportional to 1,999.08, 2,999.12 and 1,966 is: 2,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.08 : 2,999.12 = 1,966 : x
  2. Step 2: Convert to fraction form
    1,999.08/2,999.12 = 1,966/x
  3. Step 3: Cross multiply
    1,999.08x = 2,999.12 × 1,966
  4. Step 4: Simplify right side
    1,999.08x = 5,896,269.92
  5. Step 5: Solve for x
    x = 5,896,269.92/1,999.08
  6. Step 6: Final answer
    x = 2,949.49

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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.