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Finding the Fourth Proportional to 3,710.92, 5,120.94 and 2,138.68

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Solution

The fourth proportional to 3,710.92, 5,120.94 and 2,138.68 is: 2,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.92 : 5,120.94 = 2,138.68 : x
  2. Step 2: Convert to fraction form
    3,710.92/5,120.94 = 2,138.68/x
  3. Step 3: Cross multiply
    3,710.92x = 5,120.94 × 2,138.68
  4. Step 4: Simplify right side
    3,710.92x = 10,952,051.96
  5. Step 5: Solve for x
    x = 10,952,051.96/3,710.92
  6. Step 6: Final answer
    x = 2,951.30

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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.