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Finding the Fourth Proportional to 8,250, 11,385 and 4,524

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Solution

The fourth proportional to 8,250, 11,385 and 4,524 is: 6,243.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250 : 11,385 = 4,524 : x
  2. Step 2: Convert to fraction form
    8,250/11,385 = 4,524/x
  3. Step 3: Cross multiply
    8,250x = 11,385 × 4,524
  4. Step 4: Simplify right side
    8,250x = 51,505,740
  5. Step 5: Solve for x
    x = 51,505,740/8,250
  6. Step 6: Final answer
    x = 6,243.12

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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.