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Finding the Fourth Proportional to 3,578.38, 5,362.08 and 2,116

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Solution

The fourth proportional to 3,578.38, 5,362.08 and 2,116 is: 3,170.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.38 : 5,362.08 = 2,116 : x
  2. Step 2: Convert to fraction form
    3,578.38/5,362.08 = 2,116/x
  3. Step 3: Cross multiply
    3,578.38x = 5,362.08 × 2,116
  4. Step 4: Simplify right side
    3,578.38x = 11,346,161.28
  5. Step 5: Solve for x
    x = 11,346,161.28/3,578.38
  6. Step 6: Final answer
    x = 3,170.75

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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.