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Finding the Fourth Proportional to 7,966, 11,939.12 and 5,045.12

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Solution

The fourth proportional to 7,966, 11,939.12 and 5,045.12 is: 7,561.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966 : 11,939.12 = 5,045.12 : x
  2. Step 2: Convert to fraction form
    7,966/11,939.12 = 5,045.12/x
  3. Step 3: Cross multiply
    7,966x = 11,939.12 × 5,045.12
  4. Step 4: Simplify right side
    7,966x = 60,234,293.09
  5. Step 5: Solve for x
    x = 60,234,293.09/7,966
  6. Step 6: Final answer
    x = 7,561.42

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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.