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Finding the Fourth Proportional to 6,977, 9,630.42 and 4,493

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Solution

The fourth proportional to 6,977, 9,630.42 and 4,493 is: 6,201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977 : 9,630.42 = 4,493 : x
  2. Step 2: Convert to fraction form
    6,977/9,630.42 = 4,493/x
  3. Step 3: Cross multiply
    6,977x = 9,630.42 × 4,493
  4. Step 4: Simplify right side
    6,977x = 43,269,477.06
  5. Step 5: Solve for x
    x = 43,269,477.06/6,977
  6. Step 6: Final answer
    x = 6,201.73

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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.