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Finding the Fourth Proportional to 2,800.96, 4,201.20 and 853.60

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Solution

The fourth proportional to 2,800.96, 4,201.20 and 853.60 is: 1,280.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.96 : 4,201.20 = 853.60 : x
  2. Step 2: Convert to fraction form
    2,800.96/4,201.20 = 853.60/x
  3. Step 3: Cross multiply
    2,800.96x = 4,201.20 × 853.60
  4. Step 4: Simplify right side
    2,800.96x = 3,586,144.32
  5. Step 5: Solve for x
    x = 3,586,144.32/2,800.96
  6. Step 6: Final answer
    x = 1,280.33

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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.