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Finding the Fourth Proportional to 39,600, 54,648 and 21,936

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Solution

The fourth proportional to 39,600, 54,648 and 21,936 is: 30,271.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600 : 54,648 = 21,936 : x
  2. Step 2: Convert to fraction form
    39,600/54,648 = 21,936/x
  3. Step 3: Cross multiply
    39,600x = 54,648 × 21,936
  4. Step 4: Simplify right side
    39,600x = 1,198,758,528
  5. Step 5: Solve for x
    x = 1,198,758,528/39,600
  6. Step 6: Final answer
    x = 30,271.68

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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.