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Finding the Fourth Proportional to 10,879.81, 15,013.11 and 6,164.09

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Solution

The fourth proportional to 10,879.81, 15,013.11 and 6,164.09 is: 8,505.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.81 : 15,013.11 = 6,164.09 : x
  2. Step 2: Convert to fraction form
    10,879.81/15,013.11 = 6,164.09/x
  3. Step 3: Cross multiply
    10,879.81x = 15,013.11 × 6,164.09
  4. Step 4: Simplify right side
    10,879.81x = 92,542,161.22
  5. Step 5: Solve for x
    x = 92,542,161.22/10,879.81
  6. Step 6: Final answer
    x = 8,505.86

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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.