Home / 3,209-4,428.42-1,811.75

Finding the Fourth Proportional to 3,209, 4,428.42 and 1,811.75

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Solution

The fourth proportional to 3,209, 4,428.42 and 1,811.75 is: 2,500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 4,428.42 = 1,811.75 : x
  2. Step 2: Convert to fraction form
    3,209/4,428.42 = 1,811.75/x
  3. Step 3: Cross multiply
    3,209x = 4,428.42 × 1,811.75
  4. Step 4: Simplify right side
    3,209x = 8,023,189.94
  5. Step 5: Solve for x
    x = 8,023,189.94/3,209
  6. Step 6: Final answer
    x = 2,500.22

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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.