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Finding the Fourth Proportional to 2,155.94, 3,234.07 and 696.14

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Solution

The fourth proportional to 2,155.94, 3,234.07 and 696.14 is: 1,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.94 : 3,234.07 = 696.14 : x
  2. Step 2: Convert to fraction form
    2,155.94/3,234.07 = 696.14/x
  3. Step 3: Cross multiply
    2,155.94x = 3,234.07 × 696.14
  4. Step 4: Simplify right side
    2,155.94x = 2,251,365.49
  5. Step 5: Solve for x
    x = 2,251,365.49/2,155.94
  6. Step 6: Final answer
    x = 1,044.26

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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.