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Finding the Fourth Proportional to 11,644.58, 16,072.92 and 7,612

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Solution

The fourth proportional to 11,644.58, 16,072.92 and 7,612 is: 10,506.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.58 : 16,072.92 = 7,612 : x
  2. Step 2: Convert to fraction form
    11,644.58/16,072.92 = 7,612/x
  3. Step 3: Cross multiply
    11,644.58x = 16,072.92 × 7,612
  4. Step 4: Simplify right side
    11,644.58x = 122,347,067.04
  5. Step 5: Solve for x
    x = 122,347,067.04/11,644.58
  6. Step 6: Final answer
    x = 10,506.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.