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Finding the Fourth Proportional to 1,976.81, 2,965.21 and 515.97

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Solution

The fourth proportional to 1,976.81, 2,965.21 and 515.97 is: 773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.81 : 2,965.21 = 515.97 : x
  2. Step 2: Convert to fraction form
    1,976.81/2,965.21 = 515.97/x
  3. Step 3: Cross multiply
    1,976.81x = 2,965.21 × 515.97
  4. Step 4: Simplify right side
    1,976.81x = 1,529,958.11
  5. Step 5: Solve for x
    x = 1,529,958.11/1,976.81
  6. Step 6: Final answer
    x = 773.96

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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.