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Finding the Fourth Proportional to 7,910.80, 11,855.24 and 6,734.68

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Solution

The fourth proportional to 7,910.80, 11,855.24 and 6,734.68 is: 10,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.80 : 11,855.24 = 6,734.68 : x
  2. Step 2: Convert to fraction form
    7,910.80/11,855.24 = 6,734.68/x
  3. Step 3: Cross multiply
    7,910.80x = 11,855.24 × 6,734.68
  4. Step 4: Simplify right side
    7,910.80x = 79,841,247.72
  5. Step 5: Solve for x
    x = 79,841,247.72/7,910.80
  6. Step 6: Final answer
    x = 10,092.69

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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.