Home / 2,186.82-3,280.65-706.44

Finding the Fourth Proportional to 2,186.82, 3,280.65 and 706.44

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Solution

The fourth proportional to 2,186.82, 3,280.65 and 706.44 is: 1,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.82 : 3,280.65 = 706.44 : x
  2. Step 2: Convert to fraction form
    2,186.82/3,280.65 = 706.44/x
  3. Step 3: Cross multiply
    2,186.82x = 3,280.65 × 706.44
  4. Step 4: Simplify right side
    2,186.82x = 2,317,562.45
  5. Step 5: Solve for x
    x = 2,317,562.45/2,186.82
  6. Step 6: Final answer
    x = 1,059.79

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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.