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Finding the Fourth Proportional to 3,818, 5,727.72 and 1,082

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Solution

The fourth proportional to 3,818, 5,727.72 and 1,082 is: 1,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818 : 5,727.72 = 1,082 : x
  2. Step 2: Convert to fraction form
    3,818/5,727.72 = 1,082/x
  3. Step 3: Cross multiply
    3,818x = 5,727.72 × 1,082
  4. Step 4: Simplify right side
    3,818x = 6,197,393.04
  5. Step 5: Solve for x
    x = 6,197,393.04/3,818
  6. Step 6: Final answer
    x = 1,623.20

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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.