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Finding the Fourth Proportional to 5,179.64, 7,765.12 and 2,057.68

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Solution

The fourth proportional to 5,179.64, 7,765.12 and 2,057.68 is: 3,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.64 : 7,765.12 = 2,057.68 : x
  2. Step 2: Convert to fraction form
    5,179.64/7,765.12 = 2,057.68/x
  3. Step 3: Cross multiply
    5,179.64x = 7,765.12 × 2,057.68
  4. Step 4: Simplify right side
    5,179.64x = 15,978,132.12
  5. Step 5: Solve for x
    x = 15,978,132.12/5,179.64
  6. Step 6: Final answer
    x = 3,084.80

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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.