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Finding the Fourth Proportional to 3,078.41, 4,614.30 and 2,832.30

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Solution

The fourth proportional to 3,078.41, 4,614.30 and 2,832.30 is: 4,245.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,078.41 : 4,614.30 = 2,832.30 : x
  2. Step 2: Convert to fraction form
    3,078.41/4,614.30 = 2,832.30/x
  3. Step 3: Cross multiply
    3,078.41x = 4,614.30 × 2,832.30
  4. Step 4: Simplify right side
    3,078.41x = 13,069,081.89
  5. Step 5: Solve for x
    x = 13,069,081.89/3,078.41
  6. Step 6: Final answer
    x = 4,245.41

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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.