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Finding the Fourth Proportional to 8,763.80, 13,129.29 and 6,806.43

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Solution

The fourth proportional to 8,763.80, 13,129.29 and 6,806.43 is: 10,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763.80 : 13,129.29 = 6,806.43 : x
  2. Step 2: Convert to fraction form
    8,763.80/13,129.29 = 6,806.43/x
  3. Step 3: Cross multiply
    8,763.80x = 13,129.29 × 6,806.43
  4. Step 4: Simplify right side
    8,763.80x = 89,363,593.33
  5. Step 5: Solve for x
    x = 89,363,593.33/8,763.80
  6. Step 6: Final answer
    x = 10,196.91

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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.