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Finding the Fourth Proportional to 12,201.86, 18,308.92 and 4,811.62

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Solution

The fourth proportional to 12,201.86, 18,308.92 and 4,811.62 is: 7,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,201.86 : 18,308.92 = 4,811.62 : x
  2. Step 2: Convert to fraction form
    12,201.86/18,308.92 = 4,811.62/x
  3. Step 3: Cross multiply
    12,201.86x = 18,308.92 × 4,811.62
  4. Step 4: Simplify right side
    12,201.86x = 88,095,565.65
  5. Step 5: Solve for x
    x = 88,095,565.65/12,201.86
  6. Step 6: Final answer
    x = 7,219.85

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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.