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Finding the Fourth Proportional to 2,765.64, 4,150.08 and 1,984.80

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Solution

The fourth proportional to 2,765.64, 4,150.08 and 1,984.80 is: 2,978.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.64 : 4,150.08 = 1,984.80 : x
  2. Step 2: Convert to fraction form
    2,765.64/4,150.08 = 1,984.80/x
  3. Step 3: Cross multiply
    2,765.64x = 4,150.08 × 1,984.80
  4. Step 4: Simplify right side
    2,765.64x = 8,237,078.78
  5. Step 5: Solve for x
    x = 8,237,078.78/2,765.64
  6. Step 6: Final answer
    x = 2,978.36

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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.