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Finding the Fourth Proportional to 3,710.70, 5,120.78 and 2,138.79

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Solution

The fourth proportional to 3,710.70, 5,120.78 and 2,138.79 is: 2,951.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.70 : 5,120.78 = 2,138.79 : x
  2. Step 2: Convert to fraction form
    3,710.70/5,120.78 = 2,138.79/x
  3. Step 3: Cross multiply
    3,710.70x = 5,120.78 × 2,138.79
  4. Step 4: Simplify right side
    3,710.70x = 10,952,273.06
  5. Step 5: Solve for x
    x = 10,952,273.06/3,710.70
  6. Step 6: Final answer
    x = 2,951.54

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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.