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Finding the Fourth Proportional to 39,664, 54,736.32 and 22,000

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Solution

The fourth proportional to 39,664, 54,736.32 and 22,000 is: 30,360

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,664 : 54,736.32 = 22,000 : x
  2. Step 2: Convert to fraction form
    39,664/54,736.32 = 22,000/x
  3. Step 3: Cross multiply
    39,664x = 54,736.32 × 22,000
  4. Step 4: Simplify right side
    39,664x = 1,204,199,040
  5. Step 5: Solve for x
    x = 1,204,199,040/39,664
  6. Step 6: Final answer
    x = 30,360

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.