Home / 3,122.80-4,677.90-1,949.20

Finding the Fourth Proportional to 3,122.80, 4,677.90 and 1,949.20

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Solution

The fourth proportional to 3,122.80, 4,677.90 and 1,949.20 is: 2,919.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.80 : 4,677.90 = 1,949.20 : x
  2. Step 2: Convert to fraction form
    3,122.80/4,677.90 = 1,949.20/x
  3. Step 3: Cross multiply
    3,122.80x = 4,677.90 × 1,949.20
  4. Step 4: Simplify right side
    3,122.80x = 9,118,162.68
  5. Step 5: Solve for x
    x = 9,118,162.68/3,122.80
  6. Step 6: Final answer
    x = 2,919.87

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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.