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Finding the Fourth Proportional to 11,174, 16,763.40 and 3,778.64

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Solution

The fourth proportional to 11,174, 16,763.40 and 3,778.64 is: 5,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174 : 16,763.40 = 3,778.64 : x
  2. Step 2: Convert to fraction form
    11,174/16,763.40 = 3,778.64/x
  3. Step 3: Cross multiply
    11,174x = 16,763.40 × 3,778.64
  4. Step 4: Simplify right side
    11,174x = 63,342,853.78
  5. Step 5: Solve for x
    x = 63,342,853.78/11,174
  6. Step 6: Final answer
    x = 5,668.77

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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.