Home / 3,184.40-4,769.63-2,257.14

Finding the Fourth Proportional to 3,184.40, 4,769.63 and 2,257.14

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Solution

The fourth proportional to 3,184.40, 4,769.63 and 2,257.14 is: 3,380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.40 : 4,769.63 = 2,257.14 : x
  2. Step 2: Convert to fraction form
    3,184.40/4,769.63 = 2,257.14/x
  3. Step 3: Cross multiply
    3,184.40x = 4,769.63 × 2,257.14
  4. Step 4: Simplify right side
    3,184.40x = 10,765,737.72
  5. Step 5: Solve for x
    x = 10,765,737.72/3,184.40
  6. Step 6: Final answer
    x = 3,380.78

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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.