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Finding the Fourth Proportional to 12,811.86, 19,229.76 and 7,891.11

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Solution

The fourth proportional to 12,811.86, 19,229.76 and 7,891.11 is: 11,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.86 : 19,229.76 = 7,891.11 : x
  2. Step 2: Convert to fraction form
    12,811.86/19,229.76 = 7,891.11/x
  3. Step 3: Cross multiply
    12,811.86x = 19,229.76 × 7,891.11
  4. Step 4: Simplify right side
    12,811.86x = 151,744,151.43
  5. Step 5: Solve for x
    x = 151,744,151.43/12,811.86
  6. Step 6: Final answer
    x = 11,844.04

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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.