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Finding the Fourth Proportional to 22,243.04, 33,354.80 and 8,912

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Solution

The fourth proportional to 22,243.04, 33,354.80 and 8,912 is: 13,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,243.04 : 33,354.80 = 8,912 : x
  2. Step 2: Convert to fraction form
    22,243.04/33,354.80 = 8,912/x
  3. Step 3: Cross multiply
    22,243.04x = 33,354.80 × 8,912
  4. Step 4: Simplify right side
    22,243.04x = 297,257,977.60
  5. Step 5: Solve for x
    x = 297,257,977.60/22,243.04
  6. Step 6: Final answer
    x = 13,364.09

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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.