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Finding the Fourth Proportional to 12,769.86, 19,160.22 and 5,375.94

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Solution

The fourth proportional to 12,769.86, 19,160.22 and 5,375.94 is: 8,066.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769.86 : 19,160.22 = 5,375.94 : x
  2. Step 2: Convert to fraction form
    12,769.86/19,160.22 = 5,375.94/x
  3. Step 3: Cross multiply
    12,769.86x = 19,160.22 × 5,375.94
  4. Step 4: Simplify right side
    12,769.86x = 103,004,193.11
  5. Step 5: Solve for x
    x = 103,004,193.11/12,769.86
  6. Step 6: Final answer
    x = 8,066.20

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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.