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Finding the Fourth Proportional to 2,771.87, 3,822.12 and 2,065.01

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Solution

The fourth proportional to 2,771.87, 3,822.12 and 2,065.01 is: 2,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.87 : 3,822.12 = 2,065.01 : x
  2. Step 2: Convert to fraction form
    2,771.87/3,822.12 = 2,065.01/x
  3. Step 3: Cross multiply
    2,771.87x = 3,822.12 × 2,065.01
  4. Step 4: Simplify right side
    2,771.87x = 7,892,696.91
  5. Step 5: Solve for x
    x = 7,892,696.91/2,771.87
  6. Step 6: Final answer
    x = 2,847.43

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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.