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Finding the Fourth Proportional to 22,172.88, 33,256.20 and 9,858

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Solution

The fourth proportional to 22,172.88, 33,256.20 and 9,858 is: 14,785.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,172.88 : 33,256.20 = 9,858 : x
  2. Step 2: Convert to fraction form
    22,172.88/33,256.20 = 9,858/x
  3. Step 3: Cross multiply
    22,172.88x = 33,256.20 × 9,858
  4. Step 4: Simplify right side
    22,172.88x = 327,839,619.60
  5. Step 5: Solve for x
    x = 327,839,619.60/22,172.88
  6. Step 6: Final answer
    x = 14,785.61

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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.