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Finding the Fourth Proportional to 8,605.44, 12,907.56 and 2,761.56

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Solution

The fourth proportional to 8,605.44, 12,907.56 and 2,761.56 is: 4,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.44 : 12,907.56 = 2,761.56 : x
  2. Step 2: Convert to fraction form
    8,605.44/12,907.56 = 2,761.56/x
  3. Step 3: Cross multiply
    8,605.44x = 12,907.56 × 2,761.56
  4. Step 4: Simplify right side
    8,605.44x = 35,645,001.39
  5. Step 5: Solve for x
    x = 35,645,001.39/8,605.44
  6. Step 6: Final answer
    x = 4,142.15

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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.