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Finding the Fourth Proportional to 3,158.14, 4,738.16 and 966.86

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Solution

The fourth proportional to 3,158.14, 4,738.16 and 966.86 is: 1,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.14 : 4,738.16 = 966.86 : x
  2. Step 2: Convert to fraction form
    3,158.14/4,738.16 = 966.86/x
  3. Step 3: Cross multiply
    3,158.14x = 4,738.16 × 966.86
  4. Step 4: Simplify right side
    3,158.14x = 4,581,137.38
  5. Step 5: Solve for x
    x = 4,581,137.38/3,158.14
  6. Step 6: Final answer
    x = 1,450.58

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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.