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Finding the Fourth Proportional to 2,771.40, 3,821.99 and 2,064.99

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Solution

The fourth proportional to 2,771.40, 3,821.99 and 2,064.99 is: 2,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.40 : 3,821.99 = 2,064.99 : x
  2. Step 2: Convert to fraction form
    2,771.40/3,821.99 = 2,064.99/x
  3. Step 3: Cross multiply
    2,771.40x = 3,821.99 × 2,064.99
  4. Step 4: Simplify right side
    2,771.40x = 7,892,360.81
  5. Step 5: Solve for x
    x = 7,892,360.81/2,771.40
  6. Step 6: Final answer
    x = 2,847.79

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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.