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Finding the Fourth Proportional to 22,156, 33,215.37 and 9,017.80

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Solution

The fourth proportional to 22,156, 33,215.37 and 9,017.80 is: 13,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156 : 33,215.37 = 9,017.80 : x
  2. Step 2: Convert to fraction form
    22,156/33,215.37 = 9,017.80/x
  3. Step 3: Cross multiply
    22,156x = 33,215.37 × 9,017.80
  4. Step 4: Simplify right side
    22,156x = 299,529,563.59
  5. Step 5: Solve for x
    x = 299,529,563.59/22,156
  6. Step 6: Final answer
    x = 13,519.12

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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.