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Finding the Fourth Proportional to 3,878.30, 5,821.11 and 2,580.68

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Solution

The fourth proportional to 3,878.30, 5,821.11 and 2,580.68 is: 3,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.30 : 5,821.11 = 2,580.68 : x
  2. Step 2: Convert to fraction form
    3,878.30/5,821.11 = 2,580.68/x
  3. Step 3: Cross multiply
    3,878.30x = 5,821.11 × 2,580.68
  4. Step 4: Simplify right side
    3,878.30x = 15,022,436.71
  5. Step 5: Solve for x
    x = 15,022,436.71/3,878.30
  6. Step 6: Final answer
    x = 3,873.46

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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.