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Finding the Fourth Proportional to 3,709.76, 5,119.46 and 2,137.84

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Solution

The fourth proportional to 3,709.76, 5,119.46 and 2,137.84 is: 2,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.76 : 5,119.46 = 2,137.84 : x
  2. Step 2: Convert to fraction form
    3,709.76/5,119.46 = 2,137.84/x
  3. Step 3: Cross multiply
    3,709.76x = 5,119.46 × 2,137.84
  4. Step 4: Simplify right side
    3,709.76x = 10,944,586.37
  5. Step 5: Solve for x
    x = 10,944,586.37/3,709.76
  6. Step 6: Final answer
    x = 2,950.21

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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.