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Finding the Fourth Proportional to 12,775.94, 19,163.11 and 4,769.15

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Solution

The fourth proportional to 12,775.94, 19,163.11 and 4,769.15 is: 7,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.94 : 19,163.11 = 4,769.15 : x
  2. Step 2: Convert to fraction form
    12,775.94/19,163.11 = 4,769.15/x
  3. Step 3: Cross multiply
    12,775.94x = 19,163.11 × 4,769.15
  4. Step 4: Simplify right side
    12,775.94x = 91,391,650.24
  5. Step 5: Solve for x
    x = 91,391,650.24/12,775.94
  6. Step 6: Final answer
    x = 7,153.42

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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.