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Finding the Fourth Proportional to 30,469.62, 45,698.03 and 8,576.50

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Solution

The fourth proportional to 30,469.62, 45,698.03 and 8,576.50 is: 12,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,469.62 : 45,698.03 = 8,576.50 : x
  2. Step 2: Convert to fraction form
    30,469.62/45,698.03 = 8,576.50/x
  3. Step 3: Cross multiply
    30,469.62x = 45,698.03 × 8,576.50
  4. Step 4: Simplify right side
    30,469.62x = 391,929,154.30
  5. Step 5: Solve for x
    x = 391,929,154.30/30,469.62
  6. Step 6: Final answer
    x = 12,862.95

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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.