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Finding the Fourth Proportional to 2,857.41, 3,942.95 and 1,678.77

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Solution

The fourth proportional to 2,857.41, 3,942.95 and 1,678.77 is: 2,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.41 : 3,942.95 = 1,678.77 : x
  2. Step 2: Convert to fraction form
    2,857.41/3,942.95 = 1,678.77/x
  3. Step 3: Cross multiply
    2,857.41x = 3,942.95 × 1,678.77
  4. Step 4: Simplify right side
    2,857.41x = 6,619,297.78
  5. Step 5: Solve for x
    x = 6,619,297.78/2,857.41
  6. Step 6: Final answer
    x = 2,316.54

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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.