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Finding the Fourth Proportional to 20,468, 30,709.20 and 10,087.04

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Solution

The fourth proportional to 20,468, 30,709.20 and 10,087.04 is: 15,134.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,468 : 30,709.20 = 10,087.04 : x
  2. Step 2: Convert to fraction form
    20,468/30,709.20 = 10,087.04/x
  3. Step 3: Cross multiply
    20,468x = 30,709.20 × 10,087.04
  4. Step 4: Simplify right side
    20,468x = 309,764,928.77
  5. Step 5: Solve for x
    x = 309,764,928.77/20,468
  6. Step 6: Final answer
    x = 15,134.11

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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.