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Finding the Fourth Proportional to 3,973.84, 5,961.83 and 1,376.78

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Solution

The fourth proportional to 3,973.84, 5,961.83 and 1,376.78 is: 2,065.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.84 : 5,961.83 = 1,376.78 : x
  2. Step 2: Convert to fraction form
    3,973.84/5,961.83 = 1,376.78/x
  3. Step 3: Cross multiply
    3,973.84x = 5,961.83 × 1,376.78
  4. Step 4: Simplify right side
    3,973.84x = 8,208,134.04
  5. Step 5: Solve for x
    x = 8,208,134.04/3,973.84
  6. Step 6: Final answer
    x = 2,065.54

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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.