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Finding the Fourth Proportional to 1,820.20, 2,732.10 and 896.80

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Solution

The fourth proportional to 1,820.20, 2,732.10 and 896.80 is: 1,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.20 : 2,732.10 = 896.80 : x
  2. Step 2: Convert to fraction form
    1,820.20/2,732.10 = 896.80/x
  3. Step 3: Cross multiply
    1,820.20x = 2,732.10 × 896.80
  4. Step 4: Simplify right side
    1,820.20x = 2,450,147.28
  5. Step 5: Solve for x
    x = 2,450,147.28/1,820.20
  6. Step 6: Final answer
    x = 1,346.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.