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Finding the Fourth Proportional to 3,873.83, 5,812.56 and 3,808.22

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Solution

The fourth proportional to 3,873.83, 5,812.56 and 3,808.22 is: 5,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.83 : 5,812.56 = 3,808.22 : x
  2. Step 2: Convert to fraction form
    3,873.83/5,812.56 = 3,808.22/x
  3. Step 3: Cross multiply
    3,873.83x = 5,812.56 × 3,808.22
  4. Step 4: Simplify right side
    3,873.83x = 22,135,478.18
  5. Step 5: Solve for x
    x = 22,135,478.18/3,873.83
  6. Step 6: Final answer
    x = 5,714.11

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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.