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Finding the Fourth Proportional to 20,606, 30,907.56 and 10,750.84

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Solution

The fourth proportional to 20,606, 30,907.56 and 10,750.84 is: 16,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,606 : 30,907.56 = 10,750.84 : x
  2. Step 2: Convert to fraction form
    20,606/30,907.56 = 10,750.84/x
  3. Step 3: Cross multiply
    20,606x = 30,907.56 × 10,750.84
  4. Step 4: Simplify right side
    20,606x = 332,282,232.35
  5. Step 5: Solve for x
    x = 332,282,232.35/20,606
  6. Step 6: Final answer
    x = 16,125.51

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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.