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Finding the Fourth Proportional to 3,309.59, 4,949.80 and 1,919.33

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Solution

The fourth proportional to 3,309.59, 4,949.80 and 1,919.33 is: 2,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.59 : 4,949.80 = 1,919.33 : x
  2. Step 2: Convert to fraction form
    3,309.59/4,949.80 = 1,919.33/x
  3. Step 3: Cross multiply
    3,309.59x = 4,949.80 × 1,919.33
  4. Step 4: Simplify right side
    3,309.59x = 9,500,274.89
  5. Step 5: Solve for x
    x = 9,500,274.89/3,309.59
  6. Step 6: Final answer
    x = 2,870.53

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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.