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Finding the Fourth Proportional to 8,310.28, 12,450.78 and 7,406.32

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Solution

The fourth proportional to 8,310.28, 12,450.78 and 7,406.32 is: 11,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.28 : 12,450.78 = 7,406.32 : x
  2. Step 2: Convert to fraction form
    8,310.28/12,450.78 = 7,406.32/x
  3. Step 3: Cross multiply
    8,310.28x = 12,450.78 × 7,406.32
  4. Step 4: Simplify right side
    8,310.28x = 92,214,460.93
  5. Step 5: Solve for x
    x = 92,214,460.93/8,310.28
  6. Step 6: Final answer
    x = 11,096.43

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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.