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Finding the Fourth Proportional to 8,379.82, 11,568.77 and 5,731.12

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Solution

The fourth proportional to 8,379.82, 11,568.77 and 5,731.12 is: 7,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.82 : 11,568.77 = 5,731.12 : x
  2. Step 2: Convert to fraction form
    8,379.82/11,568.77 = 5,731.12/x
  3. Step 3: Cross multiply
    8,379.82x = 11,568.77 × 5,731.12
  4. Step 4: Simplify right side
    8,379.82x = 66,302,009.12
  5. Step 5: Solve for x
    x = 66,302,009.12/8,379.82
  6. Step 6: Final answer
    x = 7,912.10

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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.