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Finding the Fourth Proportional to 8,286.89, 12,430.34 and 6,822.97

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Solution

The fourth proportional to 8,286.89, 12,430.34 and 6,822.97 is: 10,234.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.89 : 12,430.34 = 6,822.97 : x
  2. Step 2: Convert to fraction form
    8,286.89/12,430.34 = 6,822.97/x
  3. Step 3: Cross multiply
    8,286.89x = 12,430.34 × 6,822.97
  4. Step 4: Simplify right side
    8,286.89x = 84,811,820.61
  5. Step 5: Solve for x
    x = 84,811,820.61/8,286.89
  6. Step 6: Final answer
    x = 10,234.45

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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.