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Finding the Fourth Proportional to 6,388.56, 9,584.06 and 2,229.75

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Solution

The fourth proportional to 6,388.56, 9,584.06 and 2,229.75 is: 3,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.56 : 9,584.06 = 2,229.75 : x
  2. Step 2: Convert to fraction form
    6,388.56/9,584.06 = 2,229.75/x
  3. Step 3: Cross multiply
    6,388.56x = 9,584.06 × 2,229.75
  4. Step 4: Simplify right side
    6,388.56x = 21,370,082.58
  5. Step 5: Solve for x
    x = 21,370,082.58/6,388.56
  6. Step 6: Final answer
    x = 3,345.05

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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.