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Finding the Fourth Proportional to 10,997.40, 16,496.10 and 5,451.60

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Solution

The fourth proportional to 10,997.40, 16,496.10 and 5,451.60 is: 8,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.40 : 16,496.10 = 5,451.60 : x
  2. Step 2: Convert to fraction form
    10,997.40/16,496.10 = 5,451.60/x
  3. Step 3: Cross multiply
    10,997.40x = 16,496.10 × 5,451.60
  4. Step 4: Simplify right side
    10,997.40x = 89,930,138.76
  5. Step 5: Solve for x
    x = 89,930,138.76/10,997.40
  6. Step 6: Final answer
    x = 8,177.40

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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.