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Finding the Fourth Proportional to 2,857.01, 3,942.14 and 1,677.78

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Solution

The fourth proportional to 2,857.01, 3,942.14 and 1,677.78 is: 2,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.01 : 3,942.14 = 1,677.78 : x
  2. Step 2: Convert to fraction form
    2,857.01/3,942.14 = 1,677.78/x
  3. Step 3: Cross multiply
    2,857.01x = 3,942.14 × 1,677.78
  4. Step 4: Simplify right side
    2,857.01x = 6,614,035.26
  5. Step 5: Solve for x
    x = 6,614,035.26/2,857.01
  6. Step 6: Final answer
    x = 2,315.02

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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.