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Finding the Fourth Proportional to 11,318.86, 16,978.83 and 5,480.38

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Solution

The fourth proportional to 11,318.86, 16,978.83 and 5,480.38 is: 8,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,318.86 : 16,978.83 = 5,480.38 : x
  2. Step 2: Convert to fraction form
    11,318.86/16,978.83 = 5,480.38/x
  3. Step 3: Cross multiply
    11,318.86x = 16,978.83 × 5,480.38
  4. Step 4: Simplify right side
    11,318.86x = 93,050,440.36
  5. Step 5: Solve for x
    x = 93,050,440.36/11,318.86
  6. Step 6: Final answer
    x = 8,220.83

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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.