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Finding the Fourth Proportional to 2,800.85, 3,866.06 and 1,682.64

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Solution

The fourth proportional to 2,800.85, 3,866.06 and 1,682.64 is: 2,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.85 : 3,866.06 = 1,682.64 : x
  2. Step 2: Convert to fraction form
    2,800.85/3,866.06 = 1,682.64/x
  3. Step 3: Cross multiply
    2,800.85x = 3,866.06 × 1,682.64
  4. Step 4: Simplify right side
    2,800.85x = 6,505,191.41
  5. Step 5: Solve for x
    x = 6,505,191.41/2,800.85
  6. Step 6: Final answer
    x = 2,322.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.