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Finding the Fourth Proportional to 2,112.76, 3,169.20 and 815.20

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Solution

The fourth proportional to 2,112.76, 3,169.20 and 815.20 is: 1,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.76 : 3,169.20 = 815.20 : x
  2. Step 2: Convert to fraction form
    2,112.76/3,169.20 = 815.20/x
  3. Step 3: Cross multiply
    2,112.76x = 3,169.20 × 815.20
  4. Step 4: Simplify right side
    2,112.76x = 2,583,531.84
  5. Step 5: Solve for x
    x = 2,583,531.84/2,112.76
  6. Step 6: Final answer
    x = 1,222.82

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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.