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Finding the Fourth Proportional to 3,208.50, 4,427.73 and 1,811.25

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Solution

The fourth proportional to 3,208.50, 4,427.73 and 1,811.25 is: 2,499.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.50 : 4,427.73 = 1,811.25 : x
  2. Step 2: Convert to fraction form
    3,208.50/4,427.73 = 1,811.25/x
  3. Step 3: Cross multiply
    3,208.50x = 4,427.73 × 1,811.25
  4. Step 4: Simplify right side
    3,208.50x = 8,019,725.96
  5. Step 5: Solve for x
    x = 8,019,725.96/3,208.50
  6. Step 6: Final answer
    x = 2,499.53

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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.