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Finding the Fourth Proportional to 2,768.85, 4,153.88 and 821.00

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Solution

The fourth proportional to 2,768.85, 4,153.88 and 821.00 is: 1,231.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.85 : 4,153.88 = 821.00 : x
  2. Step 2: Convert to fraction form
    2,768.85/4,153.88 = 821.00/x
  3. Step 3: Cross multiply
    2,768.85x = 4,153.88 × 821.00
  4. Step 4: Simplify right side
    2,768.85x = 3,410,347.92
  5. Step 5: Solve for x
    x = 3,410,347.92/2,768.85
  6. Step 6: Final answer
    x = 1,231.68

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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.