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Finding the Fourth Proportional to 2,162.94, 2,984.94 and 1,231.44

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Solution

The fourth proportional to 2,162.94, 2,984.94 and 1,231.44 is: 1,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.94 : 2,984.94 = 1,231.44 : x
  2. Step 2: Convert to fraction form
    2,162.94/2,984.94 = 1,231.44/x
  3. Step 3: Cross multiply
    2,162.94x = 2,984.94 × 1,231.44
  4. Step 4: Simplify right side
    2,162.94x = 3,675,774.51
  5. Step 5: Solve for x
    x = 3,675,774.51/2,162.94
  6. Step 6: Final answer
    x = 1,699.43

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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.