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Finding the Fourth Proportional to 22,122.32, 33,186.60 and 8,270

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Solution

The fourth proportional to 22,122.32, 33,186.60 and 8,270 is: 12,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,122.32 : 33,186.60 = 8,270 : x
  2. Step 2: Convert to fraction form
    22,122.32/33,186.60 = 8,270/x
  3. Step 3: Cross multiply
    22,122.32x = 33,186.60 × 8,270
  4. Step 4: Simplify right side
    22,122.32x = 274,453,182
  5. Step 5: Solve for x
    x = 274,453,182/22,122.32
  6. Step 6: Final answer
    x = 12,406.17

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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.