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Finding the Fourth Proportional to 12,396.50, 17,102.90 and 7,922.87

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Solution

The fourth proportional to 12,396.50, 17,102.90 and 7,922.87 is: 10,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.50 : 17,102.90 = 7,922.87 : x
  2. Step 2: Convert to fraction form
    12,396.50/17,102.90 = 7,922.87/x
  3. Step 3: Cross multiply
    12,396.50x = 17,102.90 × 7,922.87
  4. Step 4: Simplify right side
    12,396.50x = 135,504,055.29
  5. Step 5: Solve for x
    x = 135,504,055.29/12,396.50
  6. Step 6: Final answer
    x = 10,930.83

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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.