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Finding the Fourth Proportional to 8,751.69, 13,135.43 and 6,381.90

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Solution

The fourth proportional to 8,751.69, 13,135.43 and 6,381.90 is: 9,578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751.69 : 13,135.43 = 6,381.90 : x
  2. Step 2: Convert to fraction form
    8,751.69/13,135.43 = 6,381.90/x
  3. Step 3: Cross multiply
    8,751.69x = 13,135.43 × 6,381.90
  4. Step 4: Simplify right side
    8,751.69x = 83,829,016.67
  5. Step 5: Solve for x
    x = 83,829,016.67/8,751.69
  6. Step 6: Final answer
    x = 9,578.61

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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.