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Finding the Fourth Proportional to 3,764.36, 5,644.49 and 2,989.34

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Solution

The fourth proportional to 3,764.36, 5,644.49 and 2,989.34 is: 4,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.36 : 5,644.49 = 2,989.34 : x
  2. Step 2: Convert to fraction form
    3,764.36/5,644.49 = 2,989.34/x
  3. Step 3: Cross multiply
    3,764.36x = 5,644.49 × 2,989.34
  4. Step 4: Simplify right side
    3,764.36x = 16,873,256.57
  5. Step 5: Solve for x
    x = 16,873,256.57/3,764.36
  6. Step 6: Final answer
    x = 4,482.38

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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.