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Finding the Fourth Proportional to 8,200.78, 12,292.94 and 4,249.82

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Solution

The fourth proportional to 8,200.78, 12,292.94 and 4,249.82 is: 6,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.78 : 12,292.94 = 4,249.82 : x
  2. Step 2: Convert to fraction form
    8,200.78/12,292.94 = 4,249.82/x
  3. Step 3: Cross multiply
    8,200.78x = 12,292.94 × 4,249.82
  4. Step 4: Simplify right side
    8,200.78x = 52,242,823.63
  5. Step 5: Solve for x
    x = 52,242,823.63/8,200.78
  6. Step 6: Final answer
    x = 6,370.47

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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.