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Finding the Fourth Proportional to 1,999, 3,000.56 and 1,383.92

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Solution

The fourth proportional to 1,999, 3,000.56 and 1,383.92 is: 2,077.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999 : 3,000.56 = 1,383.92 : x
  2. Step 2: Convert to fraction form
    1,999/3,000.56 = 1,383.92/x
  3. Step 3: Cross multiply
    1,999x = 3,000.56 × 1,383.92
  4. Step 4: Simplify right side
    1,999x = 4,152,535.00
  5. Step 5: Solve for x
    x = 4,152,535.00/1,999
  6. Step 6: Final answer
    x = 2,077.31

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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.