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Finding the Fourth Proportional to 22,174, 33,267.60 and 12,811.72

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Solution

The fourth proportional to 22,174, 33,267.60 and 12,811.72 is: 19,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,174 : 33,267.60 = 12,811.72 : x
  2. Step 2: Convert to fraction form
    22,174/33,267.60 = 12,811.72/x
  3. Step 3: Cross multiply
    22,174x = 33,267.60 × 12,811.72
  4. Step 4: Simplify right side
    22,174x = 426,215,176.27
  5. Step 5: Solve for x
    x = 426,215,176.27/22,174
  6. Step 6: Final answer
    x = 19,221.39

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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.