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Finding the Fourth Proportional to 3,192.10, 4,405.41 and 1,933.47

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Solution

The fourth proportional to 3,192.10, 4,405.41 and 1,933.47 is: 2,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,192.10 : 4,405.41 = 1,933.47 : x
  2. Step 2: Convert to fraction form
    3,192.10/4,405.41 = 1,933.47/x
  3. Step 3: Cross multiply
    3,192.10x = 4,405.41 × 1,933.47
  4. Step 4: Simplify right side
    3,192.10x = 8,517,728.07
  5. Step 5: Solve for x
    x = 8,517,728.07/3,192.10
  6. Step 6: Final answer
    x = 2,668.38

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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.