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Finding the Fourth Proportional to 3,847.74, 5,308.46 and 2,951.64

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Solution

The fourth proportional to 3,847.74, 5,308.46 and 2,951.64 is: 4,072.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.74 : 5,308.46 = 2,951.64 : x
  2. Step 2: Convert to fraction form
    3,847.74/5,308.46 = 2,951.64/x
  3. Step 3: Cross multiply
    3,847.74x = 5,308.46 × 2,951.64
  4. Step 4: Simplify right side
    3,847.74x = 15,668,621.57
  5. Step 5: Solve for x
    x = 15,668,621.57/3,847.74
  6. Step 6: Final answer
    x = 4,072.17

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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.