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Finding the Fourth Proportional to 20,614, 30,913.54 and 8,768.56

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Solution

The fourth proportional to 20,614, 30,913.54 and 8,768.56 is: 13,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614 : 30,913.54 = 8,768.56 : x
  2. Step 2: Convert to fraction form
    20,614/30,913.54 = 8,768.56/x
  3. Step 3: Cross multiply
    20,614x = 30,913.54 × 8,768.56
  4. Step 4: Simplify right side
    20,614x = 271,067,230.30
  5. Step 5: Solve for x
    x = 271,067,230.30/20,614
  6. Step 6: Final answer
    x = 13,149.67

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1.5x scale

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.