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Finding the Fourth Proportional to 3,975.94, 5,964.87 and 1,378.82

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Solution

The fourth proportional to 3,975.94, 5,964.87 and 1,378.82 is: 2,068.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.94 : 5,964.87 = 1,378.82 : x
  2. Step 2: Convert to fraction form
    3,975.94/5,964.87 = 1,378.82/x
  3. Step 3: Cross multiply
    3,975.94x = 5,964.87 × 1,378.82
  4. Step 4: Simplify right side
    3,975.94x = 8,224,482.05
  5. Step 5: Solve for x
    x = 8,224,482.05/3,975.94
  6. Step 6: Final answer
    x = 2,068.56

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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.