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Finding the Fourth Proportional to 30,656.33, 45,984.41 and 8,469.67

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Solution

The fourth proportional to 30,656.33, 45,984.41 and 8,469.67 is: 12,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656.33 : 45,984.41 = 8,469.67 : x
  2. Step 2: Convert to fraction form
    30,656.33/45,984.41 = 8,469.67/x
  3. Step 3: Cross multiply
    30,656.33x = 45,984.41 × 8,469.67
  4. Step 4: Simplify right side
    30,656.33x = 389,472,770.85
  5. Step 5: Solve for x
    x = 389,472,770.85/30,656.33
  6. Step 6: Final answer
    x = 12,704.48

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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.