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Finding the Fourth Proportional to 11,179, 16,752.90 and 8,402.41

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Solution

The fourth proportional to 11,179, 16,752.90 and 8,402.41 is: 12,591.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,179 : 16,752.90 = 8,402.41 : x
  2. Step 2: Convert to fraction form
    11,179/16,752.90 = 8,402.41/x
  3. Step 3: Cross multiply
    11,179x = 16,752.90 × 8,402.41
  4. Step 4: Simplify right side
    11,179x = 140,764,734.49
  5. Step 5: Solve for x
    x = 140,764,734.49/11,179
  6. Step 6: Final answer
    x = 12,591.89

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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.