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Finding the Fourth Proportional to 6,744.01, 10,115.99 and 5,186.78

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Solution

The fourth proportional to 6,744.01, 10,115.99 and 5,186.78 is: 7,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.01 : 10,115.99 = 5,186.78 : x
  2. Step 2: Convert to fraction form
    6,744.01/10,115.99 = 5,186.78/x
  3. Step 3: Cross multiply
    6,744.01x = 10,115.99 × 5,186.78
  4. Step 4: Simplify right side
    6,744.01x = 52,469,452.39
  5. Step 5: Solve for x
    x = 52,469,452.39/6,744.01
  6. Step 6: Final answer
    x = 7,780.16

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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.