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Finding the Fourth Proportional to 7,909, 11,863.52 and 2,715.28

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Solution

The fourth proportional to 7,909, 11,863.52 and 2,715.28 is: 4,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909 : 11,863.52 = 2,715.28 : x
  2. Step 2: Convert to fraction form
    7,909/11,863.52 = 2,715.28/x
  3. Step 3: Cross multiply
    7,909x = 11,863.52 × 2,715.28
  4. Step 4: Simplify right side
    7,909x = 32,212,778.59
  5. Step 5: Solve for x
    x = 32,212,778.59/7,909
  6. Step 6: Final answer
    x = 4,072.93

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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.