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Finding the Fourth Proportional to 7,138.92, 10,709.41 and 2,208.94

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Solution

The fourth proportional to 7,138.92, 10,709.41 and 2,208.94 is: 3,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.92 : 10,709.41 = 2,208.94 : x
  2. Step 2: Convert to fraction form
    7,138.92/10,709.41 = 2,208.94/x
  3. Step 3: Cross multiply
    7,138.92x = 10,709.41 × 2,208.94
  4. Step 4: Simplify right side
    7,138.92x = 23,656,390.58
  5. Step 5: Solve for x
    x = 23,656,390.58/7,138.92
  6. Step 6: Final answer
    x = 3,313.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.