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Finding the Fourth Proportional to 3,157.55, 4,736.12 and 966.30

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Solution

The fourth proportional to 3,157.55, 4,736.12 and 966.30 is: 1,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.55 : 4,736.12 = 966.30 : x
  2. Step 2: Convert to fraction form
    3,157.55/4,736.12 = 966.30/x
  3. Step 3: Cross multiply
    3,157.55x = 4,736.12 × 966.30
  4. Step 4: Simplify right side
    3,157.55x = 4,576,507.92
  5. Step 5: Solve for x
    x = 4,576,507.92/3,157.55
  6. Step 6: Final answer
    x = 1,449.39

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1.5x scale

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.