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Finding the Fourth Proportional to 2,857.42, 3,943.30 and 2,019.60

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Solution

The fourth proportional to 2,857.42, 3,943.30 and 2,019.60 is: 2,787.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.42 : 3,943.30 = 2,019.60 : x
  2. Step 2: Convert to fraction form
    2,857.42/3,943.30 = 2,019.60/x
  3. Step 3: Cross multiply
    2,857.42x = 3,943.30 × 2,019.60
  4. Step 4: Simplify right side
    2,857.42x = 7,963,858.87
  5. Step 5: Solve for x
    x = 7,963,858.87/2,857.42
  6. Step 6: Final answer
    x = 2,787.09

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1.5x scale

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.