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Finding the Fourth Proportional to 11,372, 15,694.32 and 6,404.96

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Solution

The fourth proportional to 11,372, 15,694.32 and 6,404.96 is: 8,839.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,372 : 15,694.32 = 6,404.96 : x
  2. Step 2: Convert to fraction form
    11,372/15,694.32 = 6,404.96/x
  3. Step 3: Cross multiply
    11,372x = 15,694.32 × 6,404.96
  4. Step 4: Simplify right side
    11,372x = 100,521,491.83
  5. Step 5: Solve for x
    x = 100,521,491.83/11,372
  6. Step 6: Final answer
    x = 8,839.39

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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.