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Finding the Fourth Proportional to 20,615.16, 30,922.83 and 8,765.88

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Solution

The fourth proportional to 20,615.16, 30,922.83 and 8,765.88 is: 13,148.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,615.16 : 30,922.83 = 8,765.88 : x
  2. Step 2: Convert to fraction form
    20,615.16/30,922.83 = 8,765.88/x
  3. Step 3: Cross multiply
    20,615.16x = 30,922.83 × 8,765.88
  4. Step 4: Simplify right side
    20,615.16x = 271,065,817.04
  5. Step 5: Solve for x
    x = 271,065,817.04/20,615.16
  6. Step 6: Final answer
    x = 13,148.86

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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.