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Finding the Fourth Proportional to 3,182.63, 4,392.02 and 1,940.63

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Solution

The fourth proportional to 3,182.63, 4,392.02 and 1,940.63 is: 2,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.63 : 4,392.02 = 1,940.63 : x
  2. Step 2: Convert to fraction form
    3,182.63/4,392.02 = 1,940.63/x
  3. Step 3: Cross multiply
    3,182.63x = 4,392.02 × 1,940.63
  4. Step 4: Simplify right side
    3,182.63x = 8,523,268.66
  5. Step 5: Solve for x
    x = 8,523,268.66/3,182.63
  6. Step 6: Final answer
    x = 2,678.06

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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.