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Finding the Fourth Proportional to 2,704.64, 4,057.08 and 1,319.12

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Solution

The fourth proportional to 2,704.64, 4,057.08 and 1,319.12 is: 1,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,704.64 : 4,057.08 = 1,319.12 : x
  2. Step 2: Convert to fraction form
    2,704.64/4,057.08 = 1,319.12/x
  3. Step 3: Cross multiply
    2,704.64x = 4,057.08 × 1,319.12
  4. Step 4: Simplify right side
    2,704.64x = 5,351,775.37
  5. Step 5: Solve for x
    x = 5,351,775.37/2,704.64
  6. Step 6: Final answer
    x = 1,978.74

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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.