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Finding the Fourth Proportional to 2,857.12, 3,942.21 and 1,677.88

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Solution

The fourth proportional to 2,857.12, 3,942.21 and 1,677.88 is: 2,315.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.12 : 3,942.21 = 1,677.88 : x
  2. Step 2: Convert to fraction form
    2,857.12/3,942.21 = 1,677.88/x
  3. Step 3: Cross multiply
    2,857.12x = 3,942.21 × 1,677.88
  4. Step 4: Simplify right side
    2,857.12x = 6,614,555.31
  5. Step 5: Solve for x
    x = 6,614,555.31/2,857.12
  6. Step 6: Final answer
    x = 2,315.11

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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.