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Finding the Fourth Proportional to 2,857.16, 3,939.54 and 2,649.80

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Solution

The fourth proportional to 2,857.16, 3,939.54 and 2,649.80 is: 3,653.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.16 : 3,939.54 = 2,649.80 : x
  2. Step 2: Convert to fraction form
    2,857.16/3,939.54 = 2,649.80/x
  3. Step 3: Cross multiply
    2,857.16x = 3,939.54 × 2,649.80
  4. Step 4: Simplify right side
    2,857.16x = 10,438,993.09
  5. Step 5: Solve for x
    x = 10,438,993.09/2,857.16
  6. Step 6: Final answer
    x = 3,653.63

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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.