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Finding the Fourth Proportional to 2,409.85, 3,325.86 and 1,361.98

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Solution

The fourth proportional to 2,409.85, 3,325.86 and 1,361.98 is: 1,879.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409.85 : 3,325.86 = 1,361.98 : x
  2. Step 2: Convert to fraction form
    2,409.85/3,325.86 = 1,361.98/x
  3. Step 3: Cross multiply
    2,409.85x = 3,325.86 × 1,361.98
  4. Step 4: Simplify right side
    2,409.85x = 4,529,754.80
  5. Step 5: Solve for x
    x = 4,529,754.80/2,409.85
  6. Step 6: Final answer
    x = 1,879.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.