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Finding the Fourth Proportional to 57,728, 86,592 and 13,952

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Solution

The fourth proportional to 57,728, 86,592 and 13,952 is: 20,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,728 : 86,592 = 13,952 : x
  2. Step 2: Convert to fraction form
    57,728/86,592 = 13,952/x
  3. Step 3: Cross multiply
    57,728x = 86,592 × 13,952
  4. Step 4: Simplify right side
    57,728x = 1,208,131,584
  5. Step 5: Solve for x
    x = 1,208,131,584/57,728
  6. Step 6: Final answer
    x = 20,928

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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.