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Finding the Fourth Proportional to 2,200.10, 3,300.46 and 794.41

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Solution

The fourth proportional to 2,200.10, 3,300.46 and 794.41 is: 1,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.10 : 3,300.46 = 794.41 : x
  2. Step 2: Convert to fraction form
    2,200.10/3,300.46 = 794.41/x
  3. Step 3: Cross multiply
    2,200.10x = 3,300.46 × 794.41
  4. Step 4: Simplify right side
    2,200.10x = 2,621,908.19
  5. Step 5: Solve for x
    x = 2,621,908.19/2,200.10
  6. Step 6: Final answer
    x = 1,191.72

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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.