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Finding the Fourth Proportional to 8,524.56, 12,786.84 and 2,681.76

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Solution

The fourth proportional to 8,524.56, 12,786.84 and 2,681.76 is: 4,022.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.56 : 12,786.84 = 2,681.76 : x
  2. Step 2: Convert to fraction form
    8,524.56/12,786.84 = 2,681.76/x
  3. Step 3: Cross multiply
    8,524.56x = 12,786.84 × 2,681.76
  4. Step 4: Simplify right side
    8,524.56x = 34,291,236.04
  5. Step 5: Solve for x
    x = 34,291,236.04/8,524.56
  6. Step 6: Final answer
    x = 4,022.64

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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.