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Finding the Fourth Proportional to 3,966.53, 5,474.49 and 2,287.64

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Solution

The fourth proportional to 3,966.53, 5,474.49 and 2,287.64 is: 3,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.53 : 5,474.49 = 2,287.64 : x
  2. Step 2: Convert to fraction form
    3,966.53/5,474.49 = 2,287.64/x
  3. Step 3: Cross multiply
    3,966.53x = 5,474.49 × 2,287.64
  4. Step 4: Simplify right side
    3,966.53x = 12,523,662.30
  5. Step 5: Solve for x
    x = 12,523,662.30/3,966.53
  6. Step 6: Final answer
    x = 3,157.33

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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.