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Finding the Fourth Proportional to 3,974.64, 5,958.72 and 1,782.24

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Solution

The fourth proportional to 3,974.64, 5,958.72 and 1,782.24 is: 2,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.64 : 5,958.72 = 1,782.24 : x
  2. Step 2: Convert to fraction form
    3,974.64/5,958.72 = 1,782.24/x
  3. Step 3: Cross multiply
    3,974.64x = 5,958.72 × 1,782.24
  4. Step 4: Simplify right side
    3,974.64x = 10,619,869.13
  5. Step 5: Solve for x
    x = 10,619,869.13/3,974.64
  6. Step 6: Final answer
    x = 2,671.91

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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.