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Finding the Fourth Proportional to 2,857.36, 3,943.13 and 1,662.61

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Solution

The fourth proportional to 2,857.36, 3,943.13 and 1,662.61 is: 2,294.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.36 : 3,943.13 = 1,662.61 : x
  2. Step 2: Convert to fraction form
    2,857.36/3,943.13 = 1,662.61/x
  3. Step 3: Cross multiply
    2,857.36x = 3,943.13 × 1,662.61
  4. Step 4: Simplify right side
    2,857.36x = 6,555,869.20
  5. Step 5: Solve for x
    x = 6,555,869.20/2,857.36
  6. Step 6: Final answer
    x = 2,294.38

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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.