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Finding the Fourth Proportional to 10,989.87, 16,474.85 and 3,968.22

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Solution

The fourth proportional to 10,989.87, 16,474.85 and 3,968.22 is: 5,948.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,989.87 : 16,474.85 = 3,968.22 : x
  2. Step 2: Convert to fraction form
    10,989.87/16,474.85 = 3,968.22/x
  3. Step 3: Cross multiply
    10,989.87x = 16,474.85 × 3,968.22
  4. Step 4: Simplify right side
    10,989.87x = 65,375,809.43
  5. Step 5: Solve for x
    x = 65,375,809.43/10,989.87
  6. Step 6: Final answer
    x = 5,948.73

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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.