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Finding the Fourth Proportional to 6,216.56, 8,578.80 and 3,422

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Solution

The fourth proportional to 6,216.56, 8,578.80 and 3,422 is: 4,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.56 : 8,578.80 = 3,422 : x
  2. Step 2: Convert to fraction form
    6,216.56/8,578.80 = 3,422/x
  3. Step 3: Cross multiply
    6,216.56x = 8,578.80 × 3,422
  4. Step 4: Simplify right side
    6,216.56x = 29,356,653.60
  5. Step 5: Solve for x
    x = 29,356,653.60/6,216.56
  6. Step 6: Final answer
    x = 4,722.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.