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Finding the Fourth Proportional to 3,873, 5,812.06 and 1,821.16

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Solution

The fourth proportional to 3,873, 5,812.06 and 1,821.16 is: 2,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873 : 5,812.06 = 1,821.16 : x
  2. Step 2: Convert to fraction form
    3,873/5,812.06 = 1,821.16/x
  3. Step 3: Cross multiply
    3,873x = 5,812.06 × 1,821.16
  4. Step 4: Simplify right side
    3,873x = 10,584,691.19
  5. Step 5: Solve for x
    x = 10,584,691.19/3,873
  6. Step 6: Final answer
    x = 2,732.94

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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.