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Finding the Fourth Proportional to 2,800.81, 4,201.44 and 854.38

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Solution

The fourth proportional to 2,800.81, 4,201.44 and 854.38 is: 1,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.81 : 4,201.44 = 854.38 : x
  2. Step 2: Convert to fraction form
    2,800.81/4,201.44 = 854.38/x
  3. Step 3: Cross multiply
    2,800.81x = 4,201.44 × 854.38
  4. Step 4: Simplify right side
    2,800.81x = 3,589,626.31
  5. Step 5: Solve for x
    x = 3,589,626.31/2,800.81
  6. Step 6: Final answer
    x = 1,281.64

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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.