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Finding the Fourth Proportional to 2,112.56, 3,169.76 and 814.94

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Solution

The fourth proportional to 2,112.56, 3,169.76 and 814.94 is: 1,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.56 : 3,169.76 = 814.94 : x
  2. Step 2: Convert to fraction form
    2,112.56/3,169.76 = 814.94/x
  3. Step 3: Cross multiply
    2,112.56x = 3,169.76 × 814.94
  4. Step 4: Simplify right side
    2,112.56x = 2,583,168.06
  5. Step 5: Solve for x
    x = 2,583,168.06/2,112.56
  6. Step 6: Final answer
    x = 1,222.77

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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.