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Finding the Fourth Proportional to 2,800.70, 4,201.67 and 853.05

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Solution

The fourth proportional to 2,800.70, 4,201.67 and 853.05 is: 1,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.70 : 4,201.67 = 853.05 : x
  2. Step 2: Convert to fraction form
    2,800.70/4,201.67 = 853.05/x
  3. Step 3: Cross multiply
    2,800.70x = 4,201.67 × 853.05
  4. Step 4: Simplify right side
    2,800.70x = 3,584,230.33
  5. Step 5: Solve for x
    x = 3,584,230.33/2,800.70
  6. Step 6: Final answer
    x = 1,279.76

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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.