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Finding the Fourth Proportional to 8,813.54, 13,219 and 2,571.88

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Solution

The fourth proportional to 8,813.54, 13,219 and 2,571.88 is: 3,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.54 : 13,219 = 2,571.88 : x
  2. Step 2: Convert to fraction form
    8,813.54/13,219 = 2,571.88/x
  3. Step 3: Cross multiply
    8,813.54x = 13,219 × 2,571.88
  4. Step 4: Simplify right side
    8,813.54x = 33,997,615.63
  5. Step 5: Solve for x
    x = 33,997,615.63/8,813.54
  6. Step 6: Final answer
    x = 3,857.43

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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.