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Finding the Fourth Proportional to 3,158.92, 4,737.66 and 850.60

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Solution

The fourth proportional to 3,158.92, 4,737.66 and 850.60 is: 1,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.92 : 4,737.66 = 850.60 : x
  2. Step 2: Convert to fraction form
    3,158.92/4,737.66 = 850.60/x
  3. Step 3: Cross multiply
    3,158.92x = 4,737.66 × 850.60
  4. Step 4: Simplify right side
    3,158.92x = 4,029,853.60
  5. Step 5: Solve for x
    x = 4,029,853.60/3,158.92
  6. Step 6: Final answer
    x = 1,275.71

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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.