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Finding the Fourth Proportional to 20,406, 30,607.56 and 10,014

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Solution

The fourth proportional to 20,406, 30,607.56 and 10,014 is: 15,020.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406 : 30,607.56 = 10,014 : x
  2. Step 2: Convert to fraction form
    20,406/30,607.56 = 10,014/x
  3. Step 3: Cross multiply
    20,406x = 30,607.56 × 10,014
  4. Step 4: Simplify right side
    20,406x = 306,504,105.84
  5. Step 5: Solve for x
    x = 306,504,105.84/20,406
  6. Step 6: Final answer
    x = 15,020.29

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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.