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Finding the Fourth Proportional to 1,896, 2,844.42 and 801.30

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Solution

The fourth proportional to 1,896, 2,844.42 and 801.30 is: 1,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896 : 2,844.42 = 801.30 : x
  2. Step 2: Convert to fraction form
    1,896/2,844.42 = 801.30/x
  3. Step 3: Cross multiply
    1,896x = 2,844.42 × 801.30
  4. Step 4: Simplify right side
    1,896x = 2,279,233.75
  5. Step 5: Solve for x
    x = 2,279,233.75/1,896
  6. Step 6: Final answer
    x = 1,202.13

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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.