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Finding the Fourth Proportional to 6,410.79, 9,616.80 and 2,028.30

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Solution

The fourth proportional to 6,410.79, 9,616.80 and 2,028.30 is: 3,042.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.79 : 9,616.80 = 2,028.30 : x
  2. Step 2: Convert to fraction form
    6,410.79/9,616.80 = 2,028.30/x
  3. Step 3: Cross multiply
    6,410.79x = 9,616.80 × 2,028.30
  4. Step 4: Simplify right side
    6,410.79x = 19,505,755.44
  5. Step 5: Solve for x
    x = 19,505,755.44/6,410.79
  6. Step 6: Final answer
    x = 3,042.64

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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.