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Finding the Fourth Proportional to 11,315.70, 16,978.41 and 8,049.78

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Solution

The fourth proportional to 11,315.70, 16,978.41 and 8,049.78 is: 12,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.70 : 16,978.41 = 8,049.78 : x
  2. Step 2: Convert to fraction form
    11,315.70/16,978.41 = 8,049.78/x
  3. Step 3: Cross multiply
    11,315.70x = 16,978.41 × 8,049.78
  4. Step 4: Simplify right side
    11,315.70x = 136,672,465.25
  5. Step 5: Solve for x
    x = 136,672,465.25/11,315.70
  6. Step 6: Final answer
    x = 12,078.13

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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.