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Finding the Fourth Proportional to 3,218.94, 4,828.41 and 2,228.66

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Solution

The fourth proportional to 3,218.94, 4,828.41 and 2,228.66 is: 3,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.94 : 4,828.41 = 2,228.66 : x
  2. Step 2: Convert to fraction form
    3,218.94/4,828.41 = 2,228.66/x
  3. Step 3: Cross multiply
    3,218.94x = 4,828.41 × 2,228.66
  4. Step 4: Simplify right side
    3,218.94x = 10,760,905.35
  5. Step 5: Solve for x
    x = 10,760,905.35/3,218.94
  6. Step 6: Final answer
    x = 3,343.00

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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.