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Finding the Fourth Proportional to 8,825.50, 13,243.11 and 4,208.50

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Solution

The fourth proportional to 8,825.50, 13,243.11 and 4,208.50 is: 6,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.50 : 13,243.11 = 4,208.50 : x
  2. Step 2: Convert to fraction form
    8,825.50/13,243.11 = 4,208.50/x
  3. Step 3: Cross multiply
    8,825.50x = 13,243.11 × 4,208.50
  4. Step 4: Simplify right side
    8,825.50x = 55,733,628.44
  5. Step 5: Solve for x
    x = 55,733,628.44/8,825.50
  6. Step 6: Final answer
    x = 6,315.07

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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.