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Finding the Fourth Proportional to 2,800.21, 3,865.17 and 1,805.50

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Solution

The fourth proportional to 2,800.21, 3,865.17 and 1,805.50 is: 2,492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.21 : 3,865.17 = 1,805.50 : x
  2. Step 2: Convert to fraction form
    2,800.21/3,865.17 = 1,805.50/x
  3. Step 3: Cross multiply
    2,800.21x = 3,865.17 × 1,805.50
  4. Step 4: Simplify right side
    2,800.21x = 6,978,564.44
  5. Step 5: Solve for x
    x = 6,978,564.44/2,800.21
  6. Step 6: Final answer
    x = 2,492.16

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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.