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Finding the Fourth Proportional to 1,999.36, 2,997.12 and 845.76

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Solution

The fourth proportional to 1,999.36, 2,997.12 and 845.76 is: 1,267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.36 : 2,997.12 = 845.76 : x
  2. Step 2: Convert to fraction form
    1,999.36/2,997.12 = 845.76/x
  3. Step 3: Cross multiply
    1,999.36x = 2,997.12 × 845.76
  4. Step 4: Simplify right side
    1,999.36x = 2,534,844.21
  5. Step 5: Solve for x
    x = 2,534,844.21/1,999.36
  6. Step 6: Final answer
    x = 1,267.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.