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Finding the Fourth Proportional to 28,786.32, 43,181.82 and 8,009.82

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Solution

The fourth proportional to 28,786.32, 43,181.82 and 8,009.82 is: 12,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,786.32 : 43,181.82 = 8,009.82 : x
  2. Step 2: Convert to fraction form
    28,786.32/43,181.82 = 8,009.82/x
  3. Step 3: Cross multiply
    28,786.32x = 43,181.82 × 8,009.82
  4. Step 4: Simplify right side
    28,786.32x = 345,878,605.47
  5. Step 5: Solve for x
    x = 345,878,605.47/28,786.32
  6. Step 6: Final answer
    x = 12,015.38

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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.