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Finding the Fourth Proportional to 8,294.40, 12,422.16 and 6,330.96

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Solution

The fourth proportional to 8,294.40, 12,422.16 and 6,330.96 is: 9,481.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.40 : 12,422.16 = 6,330.96 : x
  2. Step 2: Convert to fraction form
    8,294.40/12,422.16 = 6,330.96/x
  3. Step 3: Cross multiply
    8,294.40x = 12,422.16 × 6,330.96
  4. Step 4: Simplify right side
    8,294.40x = 78,644,198.07
  5. Step 5: Solve for x
    x = 78,644,198.07/8,294.40
  6. Step 6: Final answer
    x = 9,481.60

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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.