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Finding the Fourth Proportional to 6,388.62, 9,579.75 and 2,228.87

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Solution

The fourth proportional to 6,388.62, 9,579.75 and 2,228.87 is: 3,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.62 : 9,579.75 = 2,228.87 : x
  2. Step 2: Convert to fraction form
    6,388.62/9,579.75 = 2,228.87/x
  3. Step 3: Cross multiply
    6,388.62x = 9,579.75 × 2,228.87
  4. Step 4: Simplify right side
    6,388.62x = 21,351,969.48
  5. Step 5: Solve for x
    x = 21,351,969.48/6,388.62
  6. Step 6: Final answer
    x = 3,342.19

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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.