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Finding the Fourth Proportional to 8,195.13, 12,309.26 and 4,914.45

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Solution

The fourth proportional to 8,195.13, 12,309.26 and 4,914.45 is: 7,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.13 : 12,309.26 = 4,914.45 : x
  2. Step 2: Convert to fraction form
    8,195.13/12,309.26 = 4,914.45/x
  3. Step 3: Cross multiply
    8,195.13x = 12,309.26 × 4,914.45
  4. Step 4: Simplify right side
    8,195.13x = 60,493,218.23
  5. Step 5: Solve for x
    x = 60,493,218.23/8,195.13
  6. Step 6: Final answer
    x = 7,381.61

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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.