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Finding the Fourth Proportional to 2,310.41, 3,464.19 and 1,078.08

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Solution

The fourth proportional to 2,310.41, 3,464.19 and 1,078.08 is: 1,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.41 : 3,464.19 = 1,078.08 : x
  2. Step 2: Convert to fraction form
    2,310.41/3,464.19 = 1,078.08/x
  3. Step 3: Cross multiply
    2,310.41x = 3,464.19 × 1,078.08
  4. Step 4: Simplify right side
    2,310.41x = 3,734,673.96
  5. Step 5: Solve for x
    x = 3,734,673.96/2,310.41
  6. Step 6: Final answer
    x = 1,616.46

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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.