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Finding the Fourth Proportional to 11,195.91, 15,451.11 and 7,412.54

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Solution

The fourth proportional to 11,195.91, 15,451.11 and 7,412.54 is: 10,229.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,195.91 : 15,451.11 = 7,412.54 : x
  2. Step 2: Convert to fraction form
    11,195.91/15,451.11 = 7,412.54/x
  3. Step 3: Cross multiply
    11,195.91x = 15,451.11 × 7,412.54
  4. Step 4: Simplify right side
    11,195.91x = 114,531,893.66
  5. Step 5: Solve for x
    x = 114,531,893.66/11,195.91
  6. Step 6: Final answer
    x = 10,229.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.