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Finding the Fourth Proportional to 12,466.92, 17,212.32 and 7,757.58

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Solution

The fourth proportional to 12,466.92, 17,212.32 and 7,757.58 is: 10,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.92 : 17,212.32 = 7,757.58 : x
  2. Step 2: Convert to fraction form
    12,466.92/17,212.32 = 7,757.58/x
  3. Step 3: Cross multiply
    12,466.92x = 17,212.32 × 7,757.58
  4. Step 4: Simplify right side
    12,466.92x = 133,525,949.39
  5. Step 5: Solve for x
    x = 133,525,949.39/12,466.92
  6. Step 6: Final answer
    x = 10,710.42

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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.