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Finding the Fourth Proportional to 20,343.80, 30,528.66 and 8,657

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Solution

The fourth proportional to 20,343.80, 30,528.66 and 8,657 is: 12,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,343.80 : 30,528.66 = 8,657 : x
  2. Step 2: Convert to fraction form
    20,343.80/30,528.66 = 8,657/x
  3. Step 3: Cross multiply
    20,343.80x = 30,528.66 × 8,657
  4. Step 4: Simplify right side
    20,343.80x = 264,286,609.62
  5. Step 5: Solve for x
    x = 264,286,609.62/20,343.80
  6. Step 6: Final answer
    x = 12,991.01

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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.