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Finding the Fourth Proportional to 8,142.54, 12,213.84 and 5,935.44

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Solution

The fourth proportional to 8,142.54, 12,213.84 and 5,935.44 is: 8,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.54 : 12,213.84 = 5,935.44 : x
  2. Step 2: Convert to fraction form
    8,142.54/12,213.84 = 5,935.44/x
  3. Step 3: Cross multiply
    8,142.54x = 12,213.84 × 5,935.44
  4. Step 4: Simplify right side
    8,142.54x = 72,494,514.49
  5. Step 5: Solve for x
    x = 72,494,514.49/8,142.54
  6. Step 6: Final answer
    x = 8,903.18

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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.