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Finding the Fourth Proportional to 3,174.64, 4,760.74 and 1,326.62

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Solution

The fourth proportional to 3,174.64, 4,760.74 and 1,326.62 is: 1,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.64 : 4,760.74 = 1,326.62 : x
  2. Step 2: Convert to fraction form
    3,174.64/4,760.74 = 1,326.62/x
  3. Step 3: Cross multiply
    3,174.64x = 4,760.74 × 1,326.62
  4. Step 4: Simplify right side
    3,174.64x = 6,315,692.90
  5. Step 5: Solve for x
    x = 6,315,692.90/3,174.64
  6. Step 6: Final answer
    x = 1,989.42

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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.