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Finding the Fourth Proportional to 6,838, 9,436.44 and 4,355.44

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Solution

The fourth proportional to 6,838, 9,436.44 and 4,355.44 is: 6,010.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838 : 9,436.44 = 4,355.44 : x
  2. Step 2: Convert to fraction form
    6,838/9,436.44 = 4,355.44/x
  3. Step 3: Cross multiply
    6,838x = 9,436.44 × 4,355.44
  4. Step 4: Simplify right side
    6,838x = 41,099,848.23
  5. Step 5: Solve for x
    x = 41,099,848.23/6,838
  6. Step 6: Final answer
    x = 6,010.51

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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.