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Finding the Fourth Proportional to 3,570.64, 5,361.32 and 2,189.77

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Solution

The fourth proportional to 3,570.64, 5,361.32 and 2,189.77 is: 3,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.64 : 5,361.32 = 2,189.77 : x
  2. Step 2: Convert to fraction form
    3,570.64/5,361.32 = 2,189.77/x
  3. Step 3: Cross multiply
    3,570.64x = 5,361.32 × 2,189.77
  4. Step 4: Simplify right side
    3,570.64x = 11,740,049.77
  5. Step 5: Solve for x
    x = 11,740,049.77/3,570.64
  6. Step 6: Final answer
    x = 3,287.94

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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.