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Finding the Fourth Proportional to 22,771.36, 34,171.44 and 8,920

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Solution

The fourth proportional to 22,771.36, 34,171.44 and 8,920 is: 13,385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.36 : 34,171.44 = 8,920 : x
  2. Step 2: Convert to fraction form
    22,771.36/34,171.44 = 8,920/x
  3. Step 3: Cross multiply
    22,771.36x = 34,171.44 × 8,920
  4. Step 4: Simplify right side
    22,771.36x = 304,809,244.80
  5. Step 5: Solve for x
    x = 304,809,244.80/22,771.36
  6. Step 6: Final answer
    x = 13,385.64

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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.