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Finding the Fourth Proportional to 3,157.85, 4,736.39 and 966.59

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Solution

The fourth proportional to 3,157.85, 4,736.39 and 966.59 is: 1,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.85 : 4,736.39 = 966.59 : x
  2. Step 2: Convert to fraction form
    3,157.85/4,736.39 = 966.59/x
  3. Step 3: Cross multiply
    3,157.85x = 4,736.39 × 966.59
  4. Step 4: Simplify right side
    3,157.85x = 4,578,161.47
  5. Step 5: Solve for x
    x = 4,578,161.47/3,157.85
  6. Step 6: Final answer
    x = 1,449.77

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Similar ratio
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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.