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Finding the Fourth Proportional to 8,523.42, 12,778.70 and 5,742.28

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Solution

The fourth proportional to 8,523.42, 12,778.70 and 5,742.28 is: 8,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.42 : 12,778.70 = 5,742.28 : x
  2. Step 2: Convert to fraction form
    8,523.42/12,778.70 = 5,742.28/x
  3. Step 3: Cross multiply
    8,523.42x = 12,778.70 × 5,742.28
  4. Step 4: Simplify right side
    8,523.42x = 73,378,873.44
  5. Step 5: Solve for x
    x = 73,378,873.44/8,523.42
  6. Step 6: Final answer
    x = 8,609.09

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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.