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Finding the Fourth Proportional to 2,328.10, 3,490.71 and 789.22

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Solution

The fourth proportional to 2,328.10, 3,490.71 and 789.22 is: 1,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.10 : 3,490.71 = 789.22 : x
  2. Step 2: Convert to fraction form
    2,328.10/3,490.71 = 789.22/x
  3. Step 3: Cross multiply
    2,328.10x = 3,490.71 × 789.22
  4. Step 4: Simplify right side
    2,328.10x = 2,754,938.15
  5. Step 5: Solve for x
    x = 2,754,938.15/2,328.10
  6. Step 6: Final answer
    x = 1,183.34

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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.