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Finding the Fourth Proportional to 3,620.80, 5,431.80 and 1,280.68

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Solution

The fourth proportional to 3,620.80, 5,431.80 and 1,280.68 is: 1,921.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.80 : 5,431.80 = 1,280.68 : x
  2. Step 2: Convert to fraction form
    3,620.80/5,431.80 = 1,280.68/x
  3. Step 3: Cross multiply
    3,620.80x = 5,431.80 × 1,280.68
  4. Step 4: Simplify right side
    3,620.80x = 6,956,397.62
  5. Step 5: Solve for x
    x = 6,956,397.62/3,620.80
  6. Step 6: Final answer
    x = 1,921.23

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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.