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Finding the Fourth Proportional to 2,857.04, 3,942.11 and 1,677.42

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Solution

The fourth proportional to 2,857.04, 3,942.11 and 1,677.42 is: 2,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.04 : 3,942.11 = 1,677.42 : x
  2. Step 2: Convert to fraction form
    2,857.04/3,942.11 = 1,677.42/x
  3. Step 3: Cross multiply
    2,857.04x = 3,942.11 × 1,677.42
  4. Step 4: Simplify right side
    2,857.04x = 6,612,574.16
  5. Step 5: Solve for x
    x = 6,612,574.16/2,857.04
  6. Step 6: Final answer
    x = 2,314.48

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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.