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Finding the Fourth Proportional to 3,980.64, 5,974.60 and 2,133.84

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Solution

The fourth proportional to 3,980.64, 5,974.60 and 2,133.84 is: 3,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.64 : 5,974.60 = 2,133.84 : x
  2. Step 2: Convert to fraction form
    3,980.64/5,974.60 = 2,133.84/x
  3. Step 3: Cross multiply
    3,980.64x = 5,974.60 × 2,133.84
  4. Step 4: Simplify right side
    3,980.64x = 12,748,840.46
  5. Step 5: Solve for x
    x = 12,748,840.46/3,980.64
  6. Step 6: Final answer
    x = 3,202.71

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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.