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Finding the Fourth Proportional to 3,612, 4,954.59 and 3,580.80

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Solution

The fourth proportional to 3,612, 4,954.59 and 3,580.80 is: 4,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612 : 4,954.59 = 3,580.80 : x
  2. Step 2: Convert to fraction form
    3,612/4,954.59 = 3,580.80/x
  3. Step 3: Cross multiply
    3,612x = 4,954.59 × 3,580.80
  4. Step 4: Simplify right side
    3,612x = 17,741,395.87
  5. Step 5: Solve for x
    x = 17,741,395.87/3,612
  6. Step 6: Final answer
    x = 4,911.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.