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Finding the Fourth Proportional to 6,561.96, 9,052.80 and 3,906.78

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Solution

The fourth proportional to 6,561.96, 9,052.80 and 3,906.78 is: 5,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.96 : 9,052.80 = 3,906.78 : x
  2. Step 2: Convert to fraction form
    6,561.96/9,052.80 = 3,906.78/x
  3. Step 3: Cross multiply
    6,561.96x = 9,052.80 × 3,906.78
  4. Step 4: Simplify right side
    6,561.96x = 35,367,297.98
  5. Step 5: Solve for x
    x = 35,367,297.98/6,561.96
  6. Step 6: Final answer
    x = 5,389.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.