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Finding the Fourth Proportional to 22,664, 33,887.82 and 20,678.87

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Solution

The fourth proportional to 22,664, 33,887.82 and 20,678.87 is: 30,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,664 : 33,887.82 = 20,678.87 : x
  2. Step 2: Convert to fraction form
    22,664/33,887.82 = 20,678.87/x
  3. Step 3: Cross multiply
    22,664x = 33,887.82 × 20,678.87
  4. Step 4: Simplify right side
    22,664x = 700,761,824.36
  5. Step 5: Solve for x
    x = 700,761,824.36/22,664
  6. Step 6: Final answer
    x = 30,919.60

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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.