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Finding the Fourth Proportional to 3,946.70, 5,446.02 and 2,267.78

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Solution

The fourth proportional to 3,946.70, 5,446.02 and 2,267.78 is: 3,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.70 : 5,446.02 = 2,267.78 : x
  2. Step 2: Convert to fraction form
    3,946.70/5,446.02 = 2,267.78/x
  3. Step 3: Cross multiply
    3,946.70x = 5,446.02 × 2,267.78
  4. Step 4: Simplify right side
    3,946.70x = 12,350,375.24
  5. Step 5: Solve for x
    x = 12,350,375.24/3,946.70
  6. Step 6: Final answer
    x = 3,129.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.