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Finding the Fourth Proportional to 3,208.75, 4,815.05 and 1,384.75

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Solution

The fourth proportional to 3,208.75, 4,815.05 and 1,384.75 is: 2,077.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.75 : 4,815.05 = 1,384.75 : x
  2. Step 2: Convert to fraction form
    3,208.75/4,815.05 = 1,384.75/x
  3. Step 3: Cross multiply
    3,208.75x = 4,815.05 × 1,384.75
  4. Step 4: Simplify right side
    3,208.75x = 6,667,633.56
  5. Step 5: Solve for x
    x = 6,667,633.56/3,208.75
  6. Step 6: Final answer
    x = 2,077.95

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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.