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Finding the Fourth Proportional to 13,362, 20,042.88 and 5,462.84

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Solution

The fourth proportional to 13,362, 20,042.88 and 5,462.84 is: 8,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362 : 20,042.88 = 5,462.84 : x
  2. Step 2: Convert to fraction form
    13,362/20,042.88 = 5,462.84/x
  3. Step 3: Cross multiply
    13,362x = 20,042.88 × 5,462.84
  4. Step 4: Simplify right side
    13,362x = 109,491,046.58
  5. Step 5: Solve for x
    x = 109,491,046.58/13,362
  6. Step 6: Final answer
    x = 8,194.21

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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.