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Finding the Fourth Proportional to 8,422.58, 12,634.31 and 3,741.48

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Solution

The fourth proportional to 8,422.58, 12,634.31 and 3,741.48 is: 5,612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.58 : 12,634.31 = 3,741.48 : x
  2. Step 2: Convert to fraction form
    8,422.58/12,634.31 = 3,741.48/x
  3. Step 3: Cross multiply
    8,422.58x = 12,634.31 × 3,741.48
  4. Step 4: Simplify right side
    8,422.58x = 47,270,999.47
  5. Step 5: Solve for x
    x = 47,270,999.47/8,422.58
  6. Step 6: Final answer
    x = 5,612.42

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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.