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Finding the Fourth Proportional to 12,647.41, 18,961.29 and 8,195.67

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Solution

The fourth proportional to 12,647.41, 18,961.29 and 8,195.67 is: 12,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.41 : 18,961.29 = 8,195.67 : x
  2. Step 2: Convert to fraction form
    12,647.41/18,961.29 = 8,195.67/x
  3. Step 3: Cross multiply
    12,647.41x = 18,961.29 × 8,195.67
  4. Step 4: Simplify right side
    12,647.41x = 155,400,475.61
  5. Step 5: Solve for x
    x = 155,400,475.61/12,647.41
  6. Step 6: Final answer
    x = 12,287.14

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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.