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Finding the Fourth Proportional to 2,800.70, 4,205.10 and 2,112.20

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Solution

The fourth proportional to 2,800.70, 4,205.10 and 2,112.20 is: 3,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.70 : 4,205.10 = 2,112.20 : x
  2. Step 2: Convert to fraction form
    2,800.70/4,205.10 = 2,112.20/x
  3. Step 3: Cross multiply
    2,800.70x = 4,205.10 × 2,112.20
  4. Step 4: Simplify right side
    2,800.70x = 8,882,012.22
  5. Step 5: Solve for x
    x = 8,882,012.22/2,800.70
  6. Step 6: Final answer
    x = 3,171.35

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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.