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Finding the Fourth Proportional to 3,673.84, 5,069.36 and 2,181.82

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Solution

The fourth proportional to 3,673.84, 5,069.36 and 2,181.82 is: 3,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.84 : 5,069.36 = 2,181.82 : x
  2. Step 2: Convert to fraction form
    3,673.84/5,069.36 = 2,181.82/x
  3. Step 3: Cross multiply
    3,673.84x = 5,069.36 × 2,181.82
  4. Step 4: Simplify right side
    3,673.84x = 11,060,431.04
  5. Step 5: Solve for x
    x = 11,060,431.04/3,673.84
  6. Step 6: Final answer
    x = 3,010.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.