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Finding the Fourth Proportional to 3,818.28, 5,724.62 and 1,219.72

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Solution

The fourth proportional to 3,818.28, 5,724.62 and 1,219.72 is: 1,828.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.28 : 5,724.62 = 1,219.72 : x
  2. Step 2: Convert to fraction form
    3,818.28/5,724.62 = 1,219.72/x
  3. Step 3: Cross multiply
    3,818.28x = 5,724.62 × 1,219.72
  4. Step 4: Simplify right side
    3,818.28x = 6,982,433.51
  5. Step 5: Solve for x
    x = 6,982,433.51/3,818.28
  6. Step 6: Final answer
    x = 1,828.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.