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Finding the Fourth Proportional to 2,800.98, 4,201.92 and 853.02

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Solution

The fourth proportional to 2,800.98, 4,201.92 and 853.02 is: 1,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.98 : 4,201.92 = 853.02 : x
  2. Step 2: Convert to fraction form
    2,800.98/4,201.92 = 853.02/x
  3. Step 3: Cross multiply
    2,800.98x = 4,201.92 × 853.02
  4. Step 4: Simplify right side
    2,800.98x = 3,584,321.80
  5. Step 5: Solve for x
    x = 3,584,321.80/2,800.98
  6. Step 6: Final answer
    x = 1,279.67

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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.