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Finding the Fourth Proportional to 6,418.12, 9,619.14 and 3,449.28

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Solution

The fourth proportional to 6,418.12, 9,619.14 and 3,449.28 is: 5,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.12 : 9,619.14 = 3,449.28 : x
  2. Step 2: Convert to fraction form
    6,418.12/9,619.14 = 3,449.28/x
  3. Step 3: Cross multiply
    6,418.12x = 9,619.14 × 3,449.28
  4. Step 4: Simplify right side
    6,418.12x = 33,179,107.22
  5. Step 5: Solve for x
    x = 33,179,107.22/6,418.12
  6. Step 6: Final answer
    x = 5,169.60

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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.