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Finding the Fourth Proportional to 4,997, 6,895.86 and 2,789

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Solution

The fourth proportional to 4,997, 6,895.86 and 2,789 is: 3,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,997 : 6,895.86 = 2,789 : x
  2. Step 2: Convert to fraction form
    4,997/6,895.86 = 2,789/x
  3. Step 3: Cross multiply
    4,997x = 6,895.86 × 2,789
  4. Step 4: Simplify right side
    4,997x = 19,232,553.54
  5. Step 5: Solve for x
    x = 19,232,553.54/4,997
  6. Step 6: Final answer
    x = 3,848.82

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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.