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Finding the Fourth Proportional to 6,238, 8,604.79 and 3,880.90

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Solution

The fourth proportional to 6,238, 8,604.79 and 3,880.90 is: 5,353.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238 : 8,604.79 = 3,880.90 : x
  2. Step 2: Convert to fraction form
    6,238/8,604.79 = 3,880.90/x
  3. Step 3: Cross multiply
    6,238x = 8,604.79 × 3,880.90
  4. Step 4: Simplify right side
    6,238x = 33,394,329.51
  5. Step 5: Solve for x
    x = 33,394,329.51/6,238
  6. Step 6: Final answer
    x = 5,353.37

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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.