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Finding the Fourth Proportional to 3,966.75, 5,474.12 and 2,310.75

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Solution

The fourth proportional to 3,966.75, 5,474.12 and 2,310.75 is: 3,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.75 : 5,474.12 = 2,310.75 : x
  2. Step 2: Convert to fraction form
    3,966.75/5,474.12 = 2,310.75/x
  3. Step 3: Cross multiply
    3,966.75x = 5,474.12 × 2,310.75
  4. Step 4: Simplify right side
    3,966.75x = 12,649,311.24
  5. Step 5: Solve for x
    x = 12,649,311.24/3,966.75
  6. Step 6: Final answer
    x = 3,188.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.