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Finding the Fourth Proportional to 3,964.75, 5,947.13 and 1,228.75

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Solution

The fourth proportional to 3,964.75, 5,947.13 and 1,228.75 is: 1,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.75 : 5,947.13 = 1,228.75 : x
  2. Step 2: Convert to fraction form
    3,964.75/5,947.13 = 1,228.75/x
  3. Step 3: Cross multiply
    3,964.75x = 5,947.13 × 1,228.75
  4. Step 4: Simplify right side
    3,964.75x = 7,307,529.84
  5. Step 5: Solve for x
    x = 7,307,529.84/3,964.75
  6. Step 6: Final answer
    x = 1,843.13

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.