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Finding the Fourth Proportional to 3,321.36, 4,978.80 and 2,828.88

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Solution

The fourth proportional to 3,321.36, 4,978.80 and 2,828.88 is: 4,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.36 : 4,978.80 = 2,828.88 : x
  2. Step 2: Convert to fraction form
    3,321.36/4,978.80 = 2,828.88/x
  3. Step 3: Cross multiply
    3,321.36x = 4,978.80 × 2,828.88
  4. Step 4: Simplify right side
    3,321.36x = 14,084,427.74
  5. Step 5: Solve for x
    x = 14,084,427.74/3,321.36
  6. Step 6: Final answer
    x = 4,240.56

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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.