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Finding the Fourth Proportional to 22,911.74, 34,383 and 8,120.60

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Solution

The fourth proportional to 22,911.74, 34,383 and 8,120.60 is: 12,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911.74 : 34,383 = 8,120.60 : x
  2. Step 2: Convert to fraction form
    22,911.74/34,383 = 8,120.60/x
  3. Step 3: Cross multiply
    22,911.74x = 34,383 × 8,120.60
  4. Step 4: Simplify right side
    22,911.74x = 279,210,589.80
  5. Step 5: Solve for x
    x = 279,210,589.80/22,911.74
  6. Step 6: Final answer
    x = 12,186.35

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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.