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Finding the Fourth Proportional to 3,157.98, 4,736.62 and 966.70

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Solution

The fourth proportional to 3,157.98, 4,736.62 and 966.70 is: 1,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.98 : 4,736.62 = 966.70 : x
  2. Step 2: Convert to fraction form
    3,157.98/4,736.62 = 966.70/x
  3. Step 3: Cross multiply
    3,157.98x = 4,736.62 × 966.70
  4. Step 4: Simplify right side
    3,157.98x = 4,578,890.55
  5. Step 5: Solve for x
    x = 4,578,890.55/3,157.98
  6. Step 6: Final answer
    x = 1,449.94

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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.