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Finding the Fourth Proportional to 3,661, 5,052.82 and 3,539.48

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Solution

The fourth proportional to 3,661, 5,052.82 and 3,539.48 is: 4,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661 : 5,052.82 = 3,539.48 : x
  2. Step 2: Convert to fraction form
    3,661/5,052.82 = 3,539.48/x
  3. Step 3: Cross multiply
    3,661x = 5,052.82 × 3,539.48
  4. Step 4: Simplify right side
    3,661x = 17,884,355.33
  5. Step 5: Solve for x
    x = 17,884,355.33/3,661
  6. Step 6: Final answer
    x = 4,885.10

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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.