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Finding the Fourth Proportional to 6,664.80, 10,000.80 and 2,769.60

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Solution

The fourth proportional to 6,664.80, 10,000.80 and 2,769.60 is: 4,155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.80 : 10,000.80 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    6,664.80/10,000.80 = 2,769.60/x
  3. Step 3: Cross multiply
    6,664.80x = 10,000.80 × 2,769.60
  4. Step 4: Simplify right side
    6,664.80x = 27,698,215.68
  5. Step 5: Solve for x
    x = 27,698,215.68/6,664.80
  6. Step 6: Final answer
    x = 4,155.90

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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.