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Finding the Fourth Proportional to 3,861.46, 5,792.20 and 939.74

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Solution

The fourth proportional to 3,861.46, 5,792.20 and 939.74 is: 1,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.46 : 5,792.20 = 939.74 : x
  2. Step 2: Convert to fraction form
    3,861.46/5,792.20 = 939.74/x
  3. Step 3: Cross multiply
    3,861.46x = 5,792.20 × 939.74
  4. Step 4: Simplify right side
    3,861.46x = 5,443,157.33
  5. Step 5: Solve for x
    x = 5,443,157.33/3,861.46
  6. Step 6: Final answer
    x = 1,409.61

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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.