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Finding the Fourth Proportional to 2,940.52, 4,057.46 and 1,894

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Solution

The fourth proportional to 2,940.52, 4,057.46 and 1,894 is: 2,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,940.52 : 4,057.46 = 1,894 : x
  2. Step 2: Convert to fraction form
    2,940.52/4,057.46 = 1,894/x
  3. Step 3: Cross multiply
    2,940.52x = 4,057.46 × 1,894
  4. Step 4: Simplify right side
    2,940.52x = 7,684,829.24
  5. Step 5: Solve for x
    x = 7,684,829.24/2,940.52
  6. Step 6: Final answer
    x = 2,613.43

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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.