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Finding the Fourth Proportional to 3,822.46, 5,739 and 1,974.94

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Solution

The fourth proportional to 3,822.46, 5,739 and 1,974.94 is: 2,965.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.46 : 5,739 = 1,974.94 : x
  2. Step 2: Convert to fraction form
    3,822.46/5,739 = 1,974.94/x
  3. Step 3: Cross multiply
    3,822.46x = 5,739 × 1,974.94
  4. Step 4: Simplify right side
    3,822.46x = 11,334,180.66
  5. Step 5: Solve for x
    x = 11,334,180.66/3,822.46
  6. Step 6: Final answer
    x = 2,965.15

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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.