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Finding the Fourth Proportional to 4,961.70, 6,845.90 and 3,969

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Solution

The fourth proportional to 4,961.70, 6,845.90 and 3,969 is: 5,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.70 : 6,845.90 = 3,969 : x
  2. Step 2: Convert to fraction form
    4,961.70/6,845.90 = 3,969/x
  3. Step 3: Cross multiply
    4,961.70x = 6,845.90 × 3,969
  4. Step 4: Simplify right side
    4,961.70x = 27,171,357.26
  5. Step 5: Solve for x
    x = 27,171,357.26/4,961.70
  6. Step 6: Final answer
    x = 5,476.22

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1.5x scale

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.