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Finding the Fourth Proportional to 2,766.12, 3,816 and 1,821.66

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Solution

The fourth proportional to 2,766.12, 3,816 and 1,821.66 is: 2,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.12 : 3,816 = 1,821.66 : x
  2. Step 2: Convert to fraction form
    2,766.12/3,816 = 1,821.66/x
  3. Step 3: Cross multiply
    2,766.12x = 3,816 × 1,821.66
  4. Step 4: Simplify right side
    2,766.12x = 6,951,454.56
  5. Step 5: Solve for x
    x = 6,951,454.56/2,766.12
  6. Step 6: Final answer
    x = 2,513.07

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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.