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Finding the Fourth Proportional to 3,903.68, 5,857 and 2,028.40

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Solution

The fourth proportional to 3,903.68, 5,857 and 2,028.40 is: 3,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.68 : 5,857 = 2,028.40 : x
  2. Step 2: Convert to fraction form
    3,903.68/5,857 = 2,028.40/x
  3. Step 3: Cross multiply
    3,903.68x = 5,857 × 2,028.40
  4. Step 4: Simplify right side
    3,903.68x = 11,880,338.80
  5. Step 5: Solve for x
    x = 11,880,338.80/3,903.68
  6. Step 6: Final answer
    x = 3,043.37

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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.