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Finding the Fourth Proportional to 2,857.35, 3,943.02 and 1,796.21

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Solution

The fourth proportional to 2,857.35, 3,943.02 and 1,796.21 is: 2,478.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.35 : 3,943.02 = 1,796.21 : x
  2. Step 2: Convert to fraction form
    2,857.35/3,943.02 = 1,796.21/x
  3. Step 3: Cross multiply
    2,857.35x = 3,943.02 × 1,796.21
  4. Step 4: Simplify right side
    2,857.35x = 7,082,463.26
  5. Step 5: Solve for x
    x = 7,082,463.26/2,857.35
  6. Step 6: Final answer
    x = 2,478.68

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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.