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Finding the Fourth Proportional to 2,857.44, 3,945.18 and 2,193.12

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Solution

The fourth proportional to 2,857.44, 3,945.18 and 2,193.12 is: 3,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.44 : 3,945.18 = 2,193.12 : x
  2. Step 2: Convert to fraction form
    2,857.44/3,945.18 = 2,193.12/x
  3. Step 3: Cross multiply
    2,857.44x = 3,945.18 × 2,193.12
  4. Step 4: Simplify right side
    2,857.44x = 8,652,253.16
  5. Step 5: Solve for x
    x = 8,652,253.16/2,857.44
  6. Step 6: Final answer
    x = 3,027.97

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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.