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Finding the Fourth Proportional to 2,398.44, 3,592.11 and 1,911.78

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Solution

The fourth proportional to 2,398.44, 3,592.11 and 1,911.78 is: 2,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.44 : 3,592.11 = 1,911.78 : x
  2. Step 2: Convert to fraction form
    2,398.44/3,592.11 = 1,911.78/x
  3. Step 3: Cross multiply
    2,398.44x = 3,592.11 × 1,911.78
  4. Step 4: Simplify right side
    2,398.44x = 6,867,324.06
  5. Step 5: Solve for x
    x = 6,867,324.06/2,398.44
  6. Step 6: Final answer
    x = 2,863.25

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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.