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Finding the Fourth Proportional to 11,717, 16,166.84 and 7,180.64

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Solution

The fourth proportional to 11,717, 16,166.84 and 7,180.64 is: 9,907.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,717 : 16,166.84 = 7,180.64 : x
  2. Step 2: Convert to fraction form
    11,717/16,166.84 = 7,180.64/x
  3. Step 3: Cross multiply
    11,717x = 16,166.84 × 7,180.64
  4. Step 4: Simplify right side
    11,717x = 116,088,257.98
  5. Step 5: Solve for x
    x = 116,088,257.98/11,717
  6. Step 6: Final answer
    x = 9,907.68

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1.5x scale

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.