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Finding the Fourth Proportional to 5,571.52, 7,687.68 and 3,212.80

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Solution

The fourth proportional to 5,571.52, 7,687.68 and 3,212.80 is: 4,433.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.52 : 7,687.68 = 3,212.80 : x
  2. Step 2: Convert to fraction form
    5,571.52/7,687.68 = 3,212.80/x
  3. Step 3: Cross multiply
    5,571.52x = 7,687.68 × 3,212.80
  4. Step 4: Simplify right side
    5,571.52x = 24,698,978.30
  5. Step 5: Solve for x
    x = 24,698,978.30/5,571.52
  6. Step 6: Final answer
    x = 4,433.08

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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.