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Finding the Fourth Proportional to 8,415.73, 12,524.25 and 8,135.43

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Solution

The fourth proportional to 8,415.73, 12,524.25 and 8,135.43 is: 12,107.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415.73 : 12,524.25 = 8,135.43 : x
  2. Step 2: Convert to fraction form
    8,415.73/12,524.25 = 8,135.43/x
  3. Step 3: Cross multiply
    8,415.73x = 12,524.25 × 8,135.43
  4. Step 4: Simplify right side
    8,415.73x = 101,890,179.52
  5. Step 5: Solve for x
    x = 101,890,179.52/8,415.73
  6. Step 6: Final answer
    x = 12,107.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.