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Finding the Fourth Proportional to 3,661.80, 5,041.06 and 3,212.78

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Solution

The fourth proportional to 3,661.80, 5,041.06 and 3,212.78 is: 4,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.80 : 5,041.06 = 3,212.78 : x
  2. Step 2: Convert to fraction form
    3,661.80/5,041.06 = 3,212.78/x
  3. Step 3: Cross multiply
    3,661.80x = 5,041.06 × 3,212.78
  4. Step 4: Simplify right side
    3,661.80x = 16,195,816.75
  5. Step 5: Solve for x
    x = 16,195,816.75/3,661.80
  6. Step 6: Final answer
    x = 4,422.91

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