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Finding the Fourth Proportional to 12,279, 16,945.20 and 6,690

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Solution

The fourth proportional to 12,279, 16,945.20 and 6,690 is: 9,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,279 : 16,945.20 = 6,690 : x
  2. Step 2: Convert to fraction form
    12,279/16,945.20 = 6,690/x
  3. Step 3: Cross multiply
    12,279x = 16,945.20 × 6,690
  4. Step 4: Simplify right side
    12,279x = 113,363,388
  5. Step 5: Solve for x
    x = 113,363,388/12,279
  6. Step 6: Final answer
    x = 9,232.30

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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.