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Finding the Fourth Proportional to 22,138.74, 33,211.35 and 8,284.50

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Solution

The fourth proportional to 22,138.74, 33,211.35 and 8,284.50 is: 12,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,138.74 : 33,211.35 = 8,284.50 : x
  2. Step 2: Convert to fraction form
    22,138.74/33,211.35 = 8,284.50/x
  3. Step 3: Cross multiply
    22,138.74x = 33,211.35 × 8,284.50
  4. Step 4: Simplify right side
    22,138.74x = 275,139,429.08
  5. Step 5: Solve for x
    x = 275,139,429.08/22,138.74
  6. Step 6: Final answer
    x = 12,427.96

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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.