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Finding the Fourth Proportional to 2,668.56, 3,997.97 and 1,967.50

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Solution

The fourth proportional to 2,668.56, 3,997.97 and 1,967.50 is: 2,947.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.56 : 3,997.97 = 1,967.50 : x
  2. Step 2: Convert to fraction form
    2,668.56/3,997.97 = 1,967.50/x
  3. Step 3: Cross multiply
    2,668.56x = 3,997.97 × 1,967.50
  4. Step 4: Simplify right side
    2,668.56x = 7,866,005.98
  5. Step 5: Solve for x
    x = 7,866,005.98/2,668.56
  6. Step 6: Final answer
    x = 2,947.66

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1.5x scale

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.