Home / 2,578.64-3,867.72-1,280.96

Finding the Fourth Proportional to 2,578.64, 3,867.72 and 1,280.96

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Solution

The fourth proportional to 2,578.64, 3,867.72 and 1,280.96 is: 1,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.64 : 3,867.72 = 1,280.96 : x
  2. Step 2: Convert to fraction form
    2,578.64/3,867.72 = 1,280.96/x
  3. Step 3: Cross multiply
    2,578.64x = 3,867.72 × 1,280.96
  4. Step 4: Simplify right side
    2,578.64x = 4,954,394.61
  5. Step 5: Solve for x
    x = 4,954,394.61/2,578.64
  6. Step 6: Final answer
    x = 1,921.32

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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.