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Finding the Fourth Proportional to 2,148.97, 3,217.98 and 1,968.54

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Solution

The fourth proportional to 2,148.97, 3,217.98 and 1,968.54 is: 2,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.97 : 3,217.98 = 1,968.54 : x
  2. Step 2: Convert to fraction form
    2,148.97/3,217.98 = 1,968.54/x
  3. Step 3: Cross multiply
    2,148.97x = 3,217.98 × 1,968.54
  4. Step 4: Simplify right side
    2,148.97x = 6,334,722.35
  5. Step 5: Solve for x
    x = 6,334,722.35/2,148.97
  6. Step 6: Final answer
    x = 2,947.79

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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.