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Finding the Fourth Proportional to 6,670.80, 10,009.80 and 2,775.60

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Solution

The fourth proportional to 6,670.80, 10,009.80 and 2,775.60 is: 4,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,670.80 : 10,009.80 = 2,775.60 : x
  2. Step 2: Convert to fraction form
    6,670.80/10,009.80 = 2,775.60/x
  3. Step 3: Cross multiply
    6,670.80x = 10,009.80 × 2,775.60
  4. Step 4: Simplify right side
    6,670.80x = 27,783,200.88
  5. Step 5: Solve for x
    x = 27,783,200.88/6,670.80
  6. Step 6: Final answer
    x = 4,164.90

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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.