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Finding the Fourth Proportional to 3,409.75, 4,705.82 and 1,993.87

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Solution

The fourth proportional to 3,409.75, 4,705.82 and 1,993.87 is: 2,751.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.75 : 4,705.82 = 1,993.87 : x
  2. Step 2: Convert to fraction form
    3,409.75/4,705.82 = 1,993.87/x
  3. Step 3: Cross multiply
    3,409.75x = 4,705.82 × 1,993.87
  4. Step 4: Simplify right side
    3,409.75x = 9,382,779.07
  5. Step 5: Solve for x
    x = 9,382,779.07/3,409.75
  6. Step 6: Final answer
    x = 2,751.75

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1.5x scale

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.