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Finding the Fourth Proportional to 3,616, 4,991.04 and 2,375.68

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Solution

The fourth proportional to 3,616, 4,991.04 and 2,375.68 is: 3,279.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616 : 4,991.04 = 2,375.68 : x
  2. Step 2: Convert to fraction form
    3,616/4,991.04 = 2,375.68/x
  3. Step 3: Cross multiply
    3,616x = 4,991.04 × 2,375.68
  4. Step 4: Simplify right side
    3,616x = 11,857,113.91
  5. Step 5: Solve for x
    x = 11,857,113.91/3,616
  6. Step 6: Final answer
    x = 3,279.07

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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.