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Finding the Fourth Proportional to 12,914.87, 17,817.93 and 8,441.20

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Solution

The fourth proportional to 12,914.87, 17,817.93 and 8,441.20 is: 11,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.87 : 17,817.93 = 8,441.20 : x
  2. Step 2: Convert to fraction form
    12,914.87/17,817.93 = 8,441.20/x
  3. Step 3: Cross multiply
    12,914.87x = 17,817.93 × 8,441.20
  4. Step 4: Simplify right side
    12,914.87x = 150,404,682.88
  5. Step 5: Solve for x
    x = 150,404,682.88/12,914.87
  6. Step 6: Final answer
    x = 11,645.86

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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.