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Finding the Fourth Proportional to 2,120.84, 3,181.08 and 581.84

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Solution

The fourth proportional to 2,120.84, 3,181.08 and 581.84 is: 872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.84 : 3,181.08 = 581.84 : x
  2. Step 2: Convert to fraction form
    2,120.84/3,181.08 = 581.84/x
  3. Step 3: Cross multiply
    2,120.84x = 3,181.08 × 581.84
  4. Step 4: Simplify right side
    2,120.84x = 1,850,879.59
  5. Step 5: Solve for x
    x = 1,850,879.59/2,120.84
  6. Step 6: Final answer
    x = 872.71

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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.