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Finding the Fourth Proportional to 7,705.26, 11,548.78 and 6,819.53

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Solution

The fourth proportional to 7,705.26, 11,548.78 and 6,819.53 is: 10,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.26 : 11,548.78 = 6,819.53 : x
  2. Step 2: Convert to fraction form
    7,705.26/11,548.78 = 6,819.53/x
  3. Step 3: Cross multiply
    7,705.26x = 11,548.78 × 6,819.53
  4. Step 4: Simplify right side
    7,705.26x = 78,757,176.88
  5. Step 5: Solve for x
    x = 78,757,176.88/7,705.26
  6. Step 6: Final answer
    x = 10,221.22

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1.5x scale

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.