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Finding the Fourth Proportional to 39,392, 54,360.96 and 21,728

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Solution

The fourth proportional to 39,392, 54,360.96 and 21,728 is: 29,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,392 : 54,360.96 = 21,728 : x
  2. Step 2: Convert to fraction form
    39,392/54,360.96 = 21,728/x
  3. Step 3: Cross multiply
    39,392x = 54,360.96 × 21,728
  4. Step 4: Simplify right side
    39,392x = 1,181,154,938.88
  5. Step 5: Solve for x
    x = 1,181,154,938.88/39,392
  6. Step 6: Final answer
    x = 29,984.64

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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.