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Finding the Fourth Proportional to 8,131.70, 12,213.93 and 4,851.20

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Solution

The fourth proportional to 8,131.70, 12,213.93 and 4,851.20 is: 7,286.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.70 : 12,213.93 = 4,851.20 : x
  2. Step 2: Convert to fraction form
    8,131.70/12,213.93 = 4,851.20/x
  3. Step 3: Cross multiply
    8,131.70x = 12,213.93 × 4,851.20
  4. Step 4: Simplify right side
    8,131.70x = 59,252,217.22
  5. Step 5: Solve for x
    x = 59,252,217.22/8,131.70
  6. Step 6: Final answer
    x = 7,286.57

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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.