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Finding the Fourth Proportional to 6,629.94, 9,153 and 3,978

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Solution

The fourth proportional to 6,629.94, 9,153 and 3,978 is: 5,491.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.94 : 9,153 = 3,978 : x
  2. Step 2: Convert to fraction form
    6,629.94/9,153 = 3,978/x
  3. Step 3: Cross multiply
    6,629.94x = 9,153 × 3,978
  4. Step 4: Simplify right side
    6,629.94x = 36,410,634
  5. Step 5: Solve for x
    x = 36,410,634/6,629.94
  6. Step 6: Final answer
    x = 5,491.85

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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.