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Finding the Fourth Proportional to 11,105.70, 16,658.55 and 3,208.20

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Solution

The fourth proportional to 11,105.70, 16,658.55 and 3,208.20 is: 4,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.70 : 16,658.55 = 3,208.20 : x
  2. Step 2: Convert to fraction form
    11,105.70/16,658.55 = 3,208.20/x
  3. Step 3: Cross multiply
    11,105.70x = 16,658.55 × 3,208.20
  4. Step 4: Simplify right side
    11,105.70x = 53,443,960.11
  5. Step 5: Solve for x
    x = 53,443,960.11/11,105.70
  6. Step 6: Final answer
    x = 4,812.30

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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.