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Finding the Fourth Proportional to 12,313, 16,991.94 and 6,724

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Solution

The fourth proportional to 12,313, 16,991.94 and 6,724 is: 9,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313 : 16,991.94 = 6,724 : x
  2. Step 2: Convert to fraction form
    12,313/16,991.94 = 6,724/x
  3. Step 3: Cross multiply
    12,313x = 16,991.94 × 6,724
  4. Step 4: Simplify right side
    12,313x = 114,253,804.56
  5. Step 5: Solve for x
    x = 114,253,804.56/12,313
  6. Step 6: Final answer
    x = 9,279.12

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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.