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Finding the Fourth Proportional to 3,705.31, 5,561.88 and 3,621.64

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Solution

The fourth proportional to 3,705.31, 5,561.88 and 3,621.64 is: 5,436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.31 : 5,561.88 = 3,621.64 : x
  2. Step 2: Convert to fraction form
    3,705.31/5,561.88 = 3,621.64/x
  3. Step 3: Cross multiply
    3,705.31x = 5,561.88 × 3,621.64
  4. Step 4: Simplify right side
    3,705.31x = 20,143,140.54
  5. Step 5: Solve for x
    x = 20,143,140.54/3,705.31
  6. Step 6: Final answer
    x = 5,436.29

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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.