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Finding the Fourth Proportional to 3,287.69, 4,536.69 and 1,943.09

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Solution

The fourth proportional to 3,287.69, 4,536.69 and 1,943.09 is: 2,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.69 : 4,536.69 = 1,943.09 : x
  2. Step 2: Convert to fraction form
    3,287.69/4,536.69 = 1,943.09/x
  3. Step 3: Cross multiply
    3,287.69x = 4,536.69 × 1,943.09
  4. Step 4: Simplify right side
    3,287.69x = 8,815,174.29
  5. Step 5: Solve for x
    x = 8,815,174.29/3,287.69
  6. Step 6: Final answer
    x = 2,681.27

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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.