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Finding the Fourth Proportional to 11,638.20, 17,423 and 7,682.16

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Solution

The fourth proportional to 11,638.20, 17,423 and 7,682.16 is: 11,500.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.20 : 17,423 = 7,682.16 : x
  2. Step 2: Convert to fraction form
    11,638.20/17,423 = 7,682.16/x
  3. Step 3: Cross multiply
    11,638.20x = 17,423 × 7,682.16
  4. Step 4: Simplify right side
    11,638.20x = 133,846,273.68
  5. Step 5: Solve for x
    x = 133,846,273.68/11,638.20
  6. Step 6: Final answer
    x = 11,500.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.