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Finding the Fourth Proportional to 7,213.54, 10,813.78 and 2,829.82

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Solution

The fourth proportional to 7,213.54, 10,813.78 and 2,829.82 is: 4,242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.54 : 10,813.78 = 2,829.82 : x
  2. Step 2: Convert to fraction form
    7,213.54/10,813.78 = 2,829.82/x
  3. Step 3: Cross multiply
    7,213.54x = 10,813.78 × 2,829.82
  4. Step 4: Simplify right side
    7,213.54x = 30,601,050.92
  5. Step 5: Solve for x
    x = 30,601,050.92/7,213.54
  6. Step 6: Final answer
    x = 4,242.17

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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.