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Finding the Fourth Proportional to 2,782.56, 4,170.48 and 1,200.64

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Solution

The fourth proportional to 2,782.56, 4,170.48 and 1,200.64 is: 1,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.56 : 4,170.48 = 1,200.64 : x
  2. Step 2: Convert to fraction form
    2,782.56/4,170.48 = 1,200.64/x
  3. Step 3: Cross multiply
    2,782.56x = 4,170.48 × 1,200.64
  4. Step 4: Simplify right side
    2,782.56x = 5,007,245.11
  5. Step 5: Solve for x
    x = 5,007,245.11/2,782.56
  6. Step 6: Final answer
    x = 1,799.51

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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.