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Finding the Fourth Proportional to 3,710.76, 5,120.84 and 2,138.84

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Solution

The fourth proportional to 3,710.76, 5,120.84 and 2,138.84 is: 2,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.76 : 5,120.84 = 2,138.84 : x
  2. Step 2: Convert to fraction form
    3,710.76/5,120.84 = 2,138.84/x
  3. Step 3: Cross multiply
    3,710.76x = 5,120.84 × 2,138.84
  4. Step 4: Simplify right side
    3,710.76x = 10,952,657.43
  5. Step 5: Solve for x
    x = 10,952,657.43/3,710.76
  6. Step 6: Final answer
    x = 2,951.59

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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.