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Finding the Fourth Proportional to 3,322.08, 4,978.64 and 1,268.96

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Solution

The fourth proportional to 3,322.08, 4,978.64 and 1,268.96 is: 1,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.08 : 4,978.64 = 1,268.96 : x
  2. Step 2: Convert to fraction form
    3,322.08/4,978.64 = 1,268.96/x
  3. Step 3: Cross multiply
    3,322.08x = 4,978.64 × 1,268.96
  4. Step 4: Simplify right side
    3,322.08x = 6,317,695.01
  5. Step 5: Solve for x
    x = 6,317,695.01/3,322.08
  6. Step 6: Final answer
    x = 1,901.73

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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.