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Finding the Fourth Proportional to 3,720.56, 5,574.80 and 1,965.48

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Solution

The fourth proportional to 3,720.56, 5,574.80 and 1,965.48 is: 2,945.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.56 : 5,574.80 = 1,965.48 : x
  2. Step 2: Convert to fraction form
    3,720.56/5,574.80 = 1,965.48/x
  3. Step 3: Cross multiply
    3,720.56x = 5,574.80 × 1,965.48
  4. Step 4: Simplify right side
    3,720.56x = 10,957,157.90
  5. Step 5: Solve for x
    x = 10,957,157.90/3,720.56
  6. Step 6: Final answer
    x = 2,945.03

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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.