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Finding the Fourth Proportional to 57,648, 86,472 and 13,872

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Solution

The fourth proportional to 57,648, 86,472 and 13,872 is: 20,808

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,648 : 86,472 = 13,872 : x
  2. Step 2: Convert to fraction form
    57,648/86,472 = 13,872/x
  3. Step 3: Cross multiply
    57,648x = 86,472 × 13,872
  4. Step 4: Simplify right side
    57,648x = 1,199,539,584
  5. Step 5: Solve for x
    x = 1,199,539,584/57,648
  6. Step 6: Final answer
    x = 20,808

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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.