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Finding the Fourth Proportional to 2,763, 3,812.94 and 1,659

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Solution

The fourth proportional to 2,763, 3,812.94 and 1,659 is: 2,289.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763 : 3,812.94 = 1,659 : x
  2. Step 2: Convert to fraction form
    2,763/3,812.94 = 1,659/x
  3. Step 3: Cross multiply
    2,763x = 3,812.94 × 1,659
  4. Step 4: Simplify right side
    2,763x = 6,325,667.46
  5. Step 5: Solve for x
    x = 6,325,667.46/2,763
  6. Step 6: Final answer
    x = 2,289.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.