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Finding the Fourth Proportional to 20,584.56, 30,863.88 and 7,434.48

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Solution

The fourth proportional to 20,584.56, 30,863.88 and 7,434.48 is: 11,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,584.56 : 30,863.88 = 7,434.48 : x
  2. Step 2: Convert to fraction form
    20,584.56/30,863.88 = 7,434.48/x
  3. Step 3: Cross multiply
    20,584.56x = 30,863.88 × 7,434.48
  4. Step 4: Simplify right side
    20,584.56x = 229,456,898.58
  5. Step 5: Solve for x
    x = 229,456,898.58/20,584.56
  6. Step 6: Final answer
    x = 11,147.04

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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.