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Finding the Fourth Proportional to 8,255.50, 11,392.80 and 4,529.50

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Solution

The fourth proportional to 8,255.50, 11,392.80 and 4,529.50 is: 6,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.50 : 11,392.80 = 4,529.50 : x
  2. Step 2: Convert to fraction form
    8,255.50/11,392.80 = 4,529.50/x
  3. Step 3: Cross multiply
    8,255.50x = 11,392.80 × 4,529.50
  4. Step 4: Simplify right side
    8,255.50x = 51,603,687.60
  5. Step 5: Solve for x
    x = 51,603,687.60/8,255.50
  6. Step 6: Final answer
    x = 6,250.83

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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.