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Finding the Fourth Proportional to 12,122.16, 18,181 and 3,355.92

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Solution

The fourth proportional to 12,122.16, 18,181 and 3,355.92 is: 5,033.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.16 : 18,181 = 3,355.92 : x
  2. Step 2: Convert to fraction form
    12,122.16/18,181 = 3,355.92/x
  3. Step 3: Cross multiply
    12,122.16x = 18,181 × 3,355.92
  4. Step 4: Simplify right side
    12,122.16x = 61,013,981.52
  5. Step 5: Solve for x
    x = 61,013,981.52/12,122.16
  6. Step 6: Final answer
    x = 5,033.26

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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.