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Finding the Fourth Proportional to 8,270.02, 12,405.03 and 7,745.14

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Solution

The fourth proportional to 8,270.02, 12,405.03 and 7,745.14 is: 11,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.02 : 12,405.03 = 7,745.14 : x
  2. Step 2: Convert to fraction form
    8,270.02/12,405.03 = 7,745.14/x
  3. Step 3: Cross multiply
    8,270.02x = 12,405.03 × 7,745.14
  4. Step 4: Simplify right side
    8,270.02x = 96,078,694.05
  5. Step 5: Solve for x
    x = 96,078,694.05/8,270.02
  6. Step 6: Final answer
    x = 11,617.71

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Similar ratio
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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.