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Finding the Fourth Proportional to 5,842.88, 8,761.44 and 2,142.44

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Solution

The fourth proportional to 5,842.88, 8,761.44 and 2,142.44 is: 3,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.88 : 8,761.44 = 2,142.44 : x
  2. Step 2: Convert to fraction form
    5,842.88/8,761.44 = 2,142.44/x
  3. Step 3: Cross multiply
    5,842.88x = 8,761.44 × 2,142.44
  4. Step 4: Simplify right side
    5,842.88x = 18,770,859.51
  5. Step 5: Solve for x
    x = 18,770,859.51/5,842.88
  6. Step 6: Final answer
    x = 3,212.60

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1.5x scale

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.