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Finding the Fourth Proportional to 2,142.73, 3,214.37 and 755.97

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Solution

The fourth proportional to 2,142.73, 3,214.37 and 755.97 is: 1,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.73 : 3,214.37 = 755.97 : x
  2. Step 2: Convert to fraction form
    2,142.73/3,214.37 = 755.97/x
  3. Step 3: Cross multiply
    2,142.73x = 3,214.37 × 755.97
  4. Step 4: Simplify right side
    2,142.73x = 2,429,967.29
  5. Step 5: Solve for x
    x = 2,429,967.29/2,142.73
  6. Step 6: Final answer
    x = 1,134.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.