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Finding the Fourth Proportional to 3,009.60, 4,511.97 and 2,766.60

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Solution

The fourth proportional to 3,009.60, 4,511.97 and 2,766.60 is: 4,147.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.60 : 4,511.97 = 2,766.60 : x
  2. Step 2: Convert to fraction form
    3,009.60/4,511.97 = 2,766.60/x
  3. Step 3: Cross multiply
    3,009.60x = 4,511.97 × 2,766.60
  4. Step 4: Simplify right side
    3,009.60x = 12,482,816.20
  5. Step 5: Solve for x
    x = 12,482,816.20/3,009.60
  6. Step 6: Final answer
    x = 4,147.67

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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.